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JEE PYQ: Current Electricity Question 63

Question 63 - 2019 (10 Jan 2019 Shift 2)

The actual value of resistance R, shown in the figure is $30,\Omega$. This is measured in an experiment as shown using the standard formula $R = V/I$, where V and I are the reading of the voltmeter and ammeter, respectively. If the measured value of R is 5% less, then the internal resistance of the voltmeter is:

(1) $600,\Omega$

(2) $570,\Omega$

(3) $35,\Omega$

(4) $350,\Omega$

Show Answer

Answer: (2)

Solution

$0.95 R = \frac{R \cdot R_V}{R + R_V}$ (measured value is less as voltmeter is in parallel). $0.95 \times 30 = \frac{30 \cdot R_V}{30 + R_V}$. $0.95 \times 30 = 0.05 R_V$… Actually: $28.5(30 + R_V) = 30 R_V$. $28.5 \times 30 = 1.5 R_V$. $R_V = 570,\Omega$.


Learning Progress: Step 63 of 76 in this series