Question

In the circuits shown below the ammeter $A$ reads $4amp$ and the voltmeter $V$ reads $20volts$. The value of the resistance $R$ is

• A. Slightly more than 5 ohms
• B. Slightly less than 5 ohms
• C. Exactly 5 ohms
• D. None of the above

Answer 1

The correct option is A Slightly more than 5 ohms

$i=i_1+i_2$ (Kirchoff Juction Law)

$i_{1}R=V$ (ohm law)

Given $V=20$

$i=4A$

$(i-i_2)R=20$

$R=\left(\frac{20}{4-i_2}\right)\Omega$

The value of R is slightly more than $5\Omega .$