Question 13: Current Electricity

Question

A cylindrical conductor AB of non-uniform
area of cross-section carries a current of 5A.
The radius of the conductor at one end A is
0.5 cm. The current density at the other end of
the conductor is half of the value at A. The
radius of the conductor at the end B is nearly

Accepted Answer

$$	ext { Given, } J_B=\frac{J_A}{2}$$
$$\begin{aligned}
&\begin{aligned}
 	ext { i.e., } 2 	imes I\left(\pi r_A^2ight) & =I\left(\pi r_B^2ight) \
\Rightarrow \quad r_B & =\left(r_Aight) \sqrt{2}=0.5 	imes 1.414 \
& =0.7 \mathrm{~cm}
\end{aligned}
\end{aligned}$$

Answer

1.4 cm

Answer

0.7 cm

Answer

0.6 cm

Answer

None of these

Current Electricity

A cylindrical conductor AB of non-uniform area of cross-section carries a current of 5A. The radius of the conductor at one end A is 0.5 cm. The current density at the other end of the conductor is half of the value at A. The radius of the conductor at the end B is nearly

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