Question 390: Current Electricity

Question

The current flowing through the $$1 \Omega$$ resistor is $$\frac{n}{10}$$ A. The value of $$n$$ is _______.

Accepted Answer

At $$C$$
$$\begin{aligned}
& \frac{v_1}{2}+\frac{v_1-5}{2}+\frac{v_1+10-v_2}{1}=0 \
& v_2=2 v_1+\frac{15}{2} \quad 	ext{.... (i)}
\end{aligned}$$
At $$A$$
$$\begin{aligned}
& \frac{v_2-5}{4}+\frac{v_2}{4}+\frac{v_2-10-v_1}{1}=0 \
& 6 v_2=4 v_1+45 \quad 	ext{.... (ii)}
\end{aligned}$$
$$\begin{aligned}
& \Rightarrow v_1=0 \
& 	ext { and } v_2=\frac{15}{2} \
& 	herefore \quad i=\frac{5}{2} \mathrm{~A} \
& \Rightarrow n=25
\end{aligned}$$

Current Electricity

The current flowing through the $1 \Omega resistor is \frac{n}{10} A. The value of n$ is _______.

Choose the correct answer: