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Resistance of 100 Omega and 200 Omega a...

Resistance of `100 Omega ` and `200 Omega` are connected in series with 220 V mains. When a voltmeter of `1000 Omega` resistance is connected in parallel to`100 Omega` , then the reading of voltmeter is

A

`68.75V`

B

`6.87 V`

C

`584.5 V`

D

`58.75 V`

Text Solution

Verified by Experts

The correct Answer is:
A
Use Kirchoff.s voltage law in the loops to solve the problem, and also use OHM.s law V = iR for the given system, where i&R represents required current and resistance respectively.

`R_(eq)=(3200)/(11) Omega`
`V=(220)/(((3200)/(11)))xx(1000)/(11)=(2200)/(2)=68.75V`
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(a) A cell of emf 3.4 V and internal resistance 3 Omega is connected to an ammeter having resistance 2 Omega and to an external resistance 100 Omega . When a voltmeter is connected across the 100 Omega resistance the ammeter reading is 0.04 A . Find the voltage read by the voltmeter and its resistance. Had the voltmeter been an ideal one, what would have its reading ? (b) Two resistances of 100 Omega and 200 Omega are connected in series with battery of emf 4 V and negligible internal resistance. A voltmeter of resistance 200 Omega is used to measure voltemeter of resistances separately. Calculate the voltmeter indicated. ( c) In the circuit shown, a voltmeter reads 30 V when it is connected across the 400 Omega resistance. Calculate what the same voltmeter will read when it is connected across the 300 Omega resistance ? (d) An ammeter and a voltmeter are connected in series to a battery of emf E = 6.0 V . When a certain resistance is connected in parallel with the voltmeter. the reading of the ammeter is doubled. while voltmeter reading is reduced to half. Find the voltmeter reading after the connection of the resistance.

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Knowledge Check

  • The resistance of 100 Omega and 200 Omega are connected in series with the 220 V mains. When a voltmeter of 1000 Omega resistance is connected in parallel to 100 Omega , then the reading of voltmeter is –

    A
    `68.75 `volt
    B
    `6.87 ` volt
    C
    ` 587.5 ` volt
    D
    ` 58.75` volt

  • 50 Omega and 100 Omega resistors are connected in series. This connection is connected with a battery of 24 volts. When a voltmeter of 100 Omega resistance is connected across 100 Omega resistor, then the reading of the voltmeter will be

    A
    `1.6V`
    B
    `1.0V`
    C
    `1.2 V`
    D
    `2.0V`

  • The voltmeter in figure has a resistance of 200 Omega . The reading of voltmeter is

    A
    2 V
    B
    1 V
    C
    1.5 V
    D
    3 V

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