Question 84: Current Electricity

Question

To determine the resistance (R) of a wire, a circuit is designed below. The $$V$$-$$I$$ characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown in figure. The value of $R$ is _________ $$\Omega$$.

Accepted Answer

$$\begin{aligned}
& R_{	ext {net }}=\frac{1}{	ext { Slope }}=\frac{8}{4} 	imes 10^3=2 	imes 10^3 \
& \Rightarrow 2=\frac{10 R}{10+R} \
& \Rightarrow 20+2 R=10 R \
& \Rightarrow 8 R=20 \
& \Rightarrow R=2.5 \mathrm{k} \Omega \
& \quad=2500 ~\Omega
\end{aligned}$$

Current Electricity

To determine the resistance (R) of a wire, a circuit is designed below. The $V-I characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown in figure. The value of R is _________ \Omega$.

Integer / Numeric Answer Type