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In the, Ohm's law experiment to find res...

In the, Ohm's law experiment to find resistance of unknown resistor `R`, following two arrangement (`a`) and (`b`) are possible.

The resistance measured is given by
`R_(measured)=(V)/(i)`
`V`= voltage reading of voltmeter, `i=` current Reading of ammeter.
But unfortunately the ammeters and voltmeter used are not ideal, but having resistance `R_(A)` and `R_(V)` respectively.
For arrangement (`b`), the measured resistance is

A

`R+R_(v)`

B

`R+R_(A)`

C

`(R R_(v))/(R+R_(v))`

D

`(R R_(v))/(R+R_(v))+R_(A)`

Text Solution

Verified by Experts

Reading of Ammeter = I Reading of voltmeter =P.d across voltmeter =P.d across `(R +R_A)` system `= I `(R +R_(A)`
`rArr` Measured resistance `= (V)/(i) = (i(R+R_(A))/(i) =R +R_(A)`
.
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Knowledge Check

  • In the, Ohm's law experiment to find resistance of unknown resistor R , following two arrangement ( a ) and ( b ) are possible. The resistance measured is given by R_(measured)=(V)/(i) V = voltage reading of voltmeter, i= current Reading of ammeter. But unfortunately the ammeters and voltmeter used are not ideal, but having resistance R_(A) and R_(V) respectively. You are given two resistor X and Y . Whose resistance is to be determined , using an ammeter of R_(A)=0.5Omega and a voltmeter of R_(V)=20 KOmega . It is known that X is in range of a few Ohm and Y is in range of several kilo ohm. Which of the circuit is preferable to measure X and Y -Resistor Circute

    A
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    B
    `x to (b)`, `y to (a)`
    C
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  • In the, Ohm's law experiment ot find resistance of unknown resistor R, the arrangement is as shown. The resistance measured is given by R_("measured")=(V)/(i)V= voltage reading of voltmeter. i=current reading of ammeter. The ammeters and the voltmeter used are not ideal, and have resistance R_(A) and R_(V) respectively. For arrangement shown, the meausred resistance is

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    `R+R_(V)`
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    `R+R_(A)`
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