Home
Class 12
PHYSICS
An ac voltmeter connected between points...

An ac voltmeter connected between points A and B in the circuit below reads 36 V. If it is connected between A and C, the reading is 39 V. The reading when it is connected between B and D is 25 V. What will the voltmeter read when it is connected between A and D ? (Assume that the voltmeter reads true rms voltage values and that the source generates a pure ac)

A

`sqrt(481 )V`

B

31V

C

61V

D

`sqrt(3361)V `

Text Solution

Verified by Experts

The correct Answer is:
A
`V_(L) = 36 V " "`. . . (i)
Voltmeter between A and C
`sqrt(V_(L)^(2) + V_(R)^(2)) = 39 " "` . . . (ii)
Voltmeter between B and D
`sqrt(V_(C)^(2)+V_(R)^(2)) = 25 " "` . . . (iii)
From eq. (i) and (ii)
`V_(R)^(2) = 39^(2) - 36^(2) rArr V_(R) = 15 V " "` . . . (iv)
From eq. (iii) and (iv)
`V_(C)^(2) = 25^(2) - 15^(2) rArr V_(C) = 20 V `
`V_(rms) = sqrt((V_(L) - V_(C))^(2) + V_(R)^(2)) = sqrt(16^(2) + 15^(2)) = sqrt(481 )V`
Promotional Banner

Similar Questions

Explore conceptually related problems

When an ideal voltmeter is connected between the [points E and F the reading of the meter is V_(0) . When an ideal ammeter is connected between E and F, reading is I_(0) find the current I through resistor R connected between E and F.

A voltmeter reads V volts in an A.C. circuit then V is

A voltmeter connected in an A.C circuit reads 220 V . It represents,

In the circuit shown below. The reading of the voltmeter V is

In the circuit shown in figure-3 .3 89, the voltmeter reads 30V when it is connected across 400 Omega resistance. Calculate what the same voltmeter will read when it is connected across the 300 Omega resistance.

In the circuit, a voltmeter reads 30 V when it is connected across 400 Omega resistance. Calculate what the same voltmeter will read when it is connected across the 300Omega resistance?

In the circuit shows in Fig. 6.22 , a voltmeter reads 30 V when it is connected across a 400 omega resistance. Calculate what the same voltmeter would read when it is connected across the 300 Omega resistance.

State ohm's law. In the circuit shown in figure, a voltmeter reads 30 volts when it is connected across 400 ohm resistance. Calculate what the same voltmeter will read when it is connected across the 300 ohm resistance.