What is root mean square value (R.M.S)?

1 Answer

Answer :

The R.M.S value is also known as effective value or virtual value. The instantaneous value of both the directions will all be squared up and will be added together. Then divide to get the average with the number of instantaneous values and find the square root of this average to calculate the R.M.S value of the emf or current.

Or

The R.M.S value of an alternating current or emf is equal to the same value of direct current (DC), which produces the same amount of heat with the same time when applied the DC through the same circuit as AC is produced.

R.M.S value = maximum value / √2 = 1/√2 = 0.707.
∴ R.M.S value or effective value = 0.707 * Emax or Imax

Related questions

Description : The ratio of the effective value of the counter EMF in volts, to the effective value of the current in amperes is called _____________. A. impedance factor B. capacitive reactance C. inductive reactance D. root mean square

Last Answer : Answer: C

Description : Ammeters and voltmeters used in sinusoidal AC power systems indicate which of the following values of the waveforms measured? A. Peak value B. Root-mean-square value C. Average value D. Maximum value

Last Answer : Answer: B

Description : If the electricity represented by the wave form in 'B' were applied to the left side of the illustrated circuit, the output on the right side would be ____________. EL-0064 A. direct current with the ... lower lead D. clipped to a value equal to the square root of 3 times the input voltage value

Last Answer : Answer: C

Description : Most AC voltmeters are calibrated to indicate __________. A. peak-to-peak voltage B. root-mean-square voltage C. average voltage D. peak voltage only

Last Answer : Answer: B

Description : The root mean square speed of molecules of a gas is equal to (where, m = mass of the molecule K = Boltzmann’s constant, T = absolute temperature) (A) √(2KT/m) (B) √(3KT/m) (C) √(6KT/m) (D) 3KT/m

Last Answer : (B) √(3KT/m)

Description : When the current in a power transmission line is increased, the power loss _____________. A. increases as the square of the current B. decreases as the square root of the current C. remains the same, as it is independent of current flow D. increases in direct proportion as the current

Last Answer : Answer: A

Description : Which of the following procedures should be used to determine the load of a threephase, delta wound, AC generator? A. Multiply the amperage in one phase by three. B. Divide the total amperage in all ... square root of three. D. Divide the total amperage in all phases by the square root of three.

Last Answer : Answer: C

Description : if the slant height (l) of a cone is equal to the square root of the sum of the squares of radius (r) and height (h) then,

Last Answer : if the slant height (l) of a cone is equal to the square root of the sum of the squares of radius (r) and height (h) ... (2))` D. `r^(2)-h^(2)=l^(2)`.

Description : The natural frequency (in Hz) of free longitudinal vibrations is equal to a) Square root (k/m) / (2π) b) Square root (g/δ) / (2π) c) 0.4985/δ d) all of the mentioned

Last Answer : d) all of the mentioned

Description : The magnitude of sag correction' during measurement of lengths by taping is proportional to the : (a) Cube of the weight of the tape, in kg per m run (b) Cube root of the weight of the tape, in kg per m run ... the tape, in kg per m run (d) Square root of the weight of the tape, in kg per m run

Last Answer : (c) Square of the weight of the tape, in kg per m run

Description : The r.m.s. value and mean value is the same in the case of?

Last Answer : The r.m.s. value and mean value is the same in the case of square wave.

Description : One root of x^2 + kx – 8 = 0 is the square of the other, then the value of k is : -Maths 9th

Last Answer : answer:

Description : What is the exact value for the expression the square root of 189 minus the square root of 21 plus the square root of 84 Simplify if possible.?

Last Answer : Need answer

Description : What is the approximate value of the square root of 66 to the nearest hundreths?

Last Answer : It is approx 8.12

Description : The value of energy quantum for radiation of any frequency is proportional to: (A) The frequency (B) The reciprocal of the energy (C) The square of the frequency (D) The square root of the frequency

Last Answer : Answer: Option A

Description : In a certain circuit current changes with time accroding to `i=2sqrt(t)`. r.m.s. value of current between `t=2` to `t=4s` will be

Last Answer : In a certain circuit current changes with time accroding to `i=2sqrt(t)`. r.m.s. value of current between `t=2` to `t=4s` will be

Description : The r.m.s. value of a half-wave rectified alternating current is 10 A. Its value for full-wave rectification will be  

Last Answer : The RMS value of a half-wave rectified current is 10 Ampere. Its value for full-wave rectification would be: 14.14 Ampere

Description : The equation of 50 Hz current sine wave having r.m.s. value of 60 A is?

Last Answer : (60*√2)Sin(2π*50*t)

Description : The r.m.s. value of pure cosine function is?

Last Answer : 0.707 of peak value

Description : The r.m.s. value of a sinusoidal A.C. current is equal to its value at an angle of______degrees.

Last Answer : 45

Description : For a sine wave with peak value Imax the r.m.s. value is?

Last Answer : For a sine wave with peak value Imax the r.m.s. value is 0.707.

Description : When the voltage remains constant and the resistance is increased in a series circuit, the flow of current _____________. A. increases by the square of the original value B. increases C. remains the same D. decreases

Last Answer : Answer: D

Description : A 400kW, 3-phase, 440V, 50Hz induction motor has a speed of 950 r.p.m. on fullload. The machine has 6 poles. The slip of the machine will be _______________. (A) 0.06 (B) 0.10 (C) 0.04 (D) 0.05

Last Answer : Ans: D N = Ns (1-S) 950 = 120 x 50 (1-S)/6 S = 0.05

Description : A d.c. shunt motor runs at no load speed of 1140 r.p.m. At full load, armature reaction weakens the main flux by 5% whereas the armature circuit voltage drops by 10%. The motor full load speed in r.p.m. is (A) 1080 (B) 1203 (C) 1000 (D) 1200

Last Answer : (A) 1080

Description : A balanced three-phase, 50 Hz voltage is applied to a 3 phase, 4 pole, induction motor. When the motor is delivering rated output, the slip is found to be 0.05. The speed of the rotor m.m.f. relative to the rotor structure is (A) 1500 r.p.m. (B) 1425 r.p.m. (C) 25 r.p.m. (D) 75 r.p.m.

Last Answer : (D) 75 r.p.m.

Description : P, Q, R and S are respectively the mid-points of sides AB, BC, CD and DA of quadrilateral ABCD in which AC = BD and AC ⊥ BD. Prove that PQRS is a square. -Maths 9th

Last Answer : Given In quadrilateral ABCD, P, Q, R and S are the mid-points of the sides AB, BC, CD and DA, respectively. Also, AC = BD and AC ⊥ BD. To prove PQRS is a square. Proof Now, in ΔADC, S and R are the mid-points of the sides AD and DC respectively, then by mid-point theorem,

Description : P, Q, R and S are respectively the mid-points of sides AB, BC, CD and DA of quadrilateral ABCD in which AC = BD and AC ⊥ BD. Prove that PQRS is a square. -Maths 9th

Last Answer : Given In quadrilateral ABCD, P, Q, R and S are the mid-points of the sides AB, BC, CD and DA, respectively. Also, AC = BD and AC ⊥ BD. To prove PQRS is a square. Proof Now, in ΔADC, S and R are the mid-points of the sides AD and DC respectively, then by mid-point theorem,

Description : ABCD is a square. P, Q, R, S are the mid-points of AB, BC, CD and DA respectively. By joining AR, BS, CP, DQ, we get a quadrilateral which is a -Maths 9th

Last Answer : According to the given statement, the figure will be a shown alongside; using mid-point theorem: In △ABC,PQ∥AC and PQ=21 AC .......(1) In △ADC,SR∥AC and SR=21 AC .... ... are perpendicular to each other) ∴PQ⊥QR(angle between two lines = angle between their parallels) Hence PQRS is a rectangle.

Description : Let P(–3, 2), Q(–5, –5), R(2, –3) and S(4, 4) be four points in a plane. Then show that PQRS is a rhombus. Is it a square ? -Maths 9th

Last Answer : Let P(1, -1), Q \(\big(rac{-1}{2},rac{1}{2}\big)\) and R(1,2) be the vertices of the ΔPQR.Then, PQ = \(\sqrt{\big(rac{-1}{2}-1\big)^2+\big(rac{1}{2}+1\big)^2}\) = \(\sqrt{rac{9}{4}+rac{9}{4}} ... {3\sqrt2}{2}\)PR = \(\sqrt{(1-1)^2+(2+1)^2}\) = \(\sqrt9\) = 3∵ PQ = QR, the triangle PQR is isosceles.

Description : The figure shows the front view of a convex lens, which originally had only one edge. Five holes of different shapes, namely triangle, square, pentagon, hexagon and circle, were drilled through it at points P ... . What is the total number of edges in the lens after the holes were drilled? 

Last Answer : 57

Description : I've been asked to find the temperature to which a 20.0°C gas must be raised to increase its root mean square (rms) speed by a given percentage. Is this possible without knowing the identity of the gas?

Last Answer : Pretend the gas is hydrogen. Work out the problem. Pretend the gas is oxygen. Work out the problem. Are the answers you get any different?

Description : Steady d.c voltage is also known as A. square velocity B. root mean square velocity C. root velocity D. velocity

Last Answer : root mean square velocity

Description : In isotropic turbulence, the __________ are equal to each other. (A) Temporal velocity components (B) Mean square of velocity fluctuations in the three co-ordinate directions (C) Root mean square of velocity fluctuations in the three co-ordinate directions (D) None of these

Last Answer : (B) Mean square of velocity fluctuations in the three co-ordinate directions

Description : What is the resistance value indicated on the multimeter scale illustrated, if the range switch is set at R X 100, and the needle is at the position indicated by the letter 'R'? EL-0047 A. 6.0 ohms B. 162.5 ohms C. 600 ohms D. 16,250 ohms

Last Answer : Answer: C

Description : What is the resistance value indicated by the multimeter scale illustrated, if the range switch is set at R X 100, and the needle is at the position indicated by the letter 'Y'? EL-0047 A. 220 ohms B. 240 ohms C. 2,400 ohms D. 24,000 ohms

Last Answer : Answer: C

Description : With the selector switches set for R X 10,000 and the leads placed in the proper receptacles, the needle settles on the '150' mark. What is the resistance value between the leads? EL-0047 A. 1500 ohms B. 150,000 ohms C. 1,500,000 ohms D. 1.5 ohms

Last Answer : Answer: C

Description : What is the resistance value indicated by the multimeter scale illustrated, if the range switch is set at R X 1, and the needle is at the position indicated by the letter 'A'? EL-0047 A. 10 ohms B. 100 ohms C. 200 ohms D. 1,000 ohms

Last Answer : Answer: C

Description : What is the resistance value indicated by the multimeter scale illustrated, if the range switch is set at R X 1, and the needle is at the position indicated by the letter 'F'? EL-0047 A. 0.6 ohms B. 6 ohms C. 9.6 ohms D. .38 ohms

Last Answer : Answer: A

Description : What is the resistance value indicated by the multimeter scale illustrated, if the range switch is set at R X 1, and the needle is at the position indicated by the letter 'D'? EL-0047 A. 7.8 ohms B. 8 ohms C. 3.6 ohms D. .36 ohms

Last Answer : Answer: C

Description : What is the resistance value indicated by the multimeter scale illustrated, if the range switch is set at R X 1, and the needle is at the position indicated by the letter 'R'? EL-0047 A. 6 ohms B. 6.8 ohms C. 1.7 ohms D. 167 ohms

Last Answer : Answer: A

Description : What is the resistance value indicated by the multimeter scale illustrated, if the range switch is set at R X 1, and the needle is at the position indicated by the letter 'X'? EL-0047 A. 8 ohms B. 6.2 ohms C. 1.57 ohms D. 150 ohms

Last Answer : Answer: A

Description : What is the resistance value indicated by the multimeter scale illustrated, if the range switch is set at R X 1, and the needle is at the position indicated by the letter 'C'? EL-0047 A. 1.3 ohms B. 4.8 ohms C. 13 ohms D. 121 ohms

Last Answer : Answer: C

Description : What is the resistance value indicated by the multimeter scale illustrated, if the range switch is set at R X 1, and the needle is at the position indicated by the letter 'B'? EL-0047 A. 1.45 ohms B. 7.2 ohms C. 37 ohms D. 70 ohms

Last Answer : Answer: D

Description : What is the resistance value indicated by the multimeter scale illustrated, if the range switch is set at R X 1 and the needle is at the position indicated by the letter 'Y'? EL-0047 A. 2.2 ohms B. 24 ohms C. 240 ohms D. 2,400 ohms

Last Answer : Answer: B

Description : Erratic operation of the devices represented in the diagrams shown in the illustration could be traced to ____________. EL-0092 A. improper contact at 'R' slip rings or 'S' connections B. a low three- ... . improper contact at 'S' slip rings or 'R' connections D. a high three-phase voltage supply

Last Answer : Answer: A

Description : What operational characteristics do the components labeled as 'S' and 'R' represent in the motor controller diagram shown in the illustration? EL-0080 A. Standard and Reverse directions B. Stop and Restart features C. Subnormal and Regular loading D. Start and Run functions

Last Answer : Answer: D

Description : A person moves from a point S and walks along the path which is a square of each side 50 m. He runs east, south

Last Answer : A person moves from a point S and walks along the path which is a square of each side 50 m. He runs east, south, ... (B) 100 m (C) 50 m (D) zero

Description : Simplifying a square root?

Last Answer : 7 When you simplify if you have 5x/5, you end up with 1x or just x. hint… the square root of 2 is like any other variable when simplifying