Question 173 of 380
Given below are two statements :
Statement-I : The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs.
Statement-II : The equivalent internal resistance of two nonideal batteries connected in parallel is smaller than the internal resistance of either of the two batteries.
In the light of the above statements, choose the correct answer from the options given below.
Show answer and solution
Answer: (B) Statement-I is false but Statement-II is true
In parallel connections
$\begin{aligned}
& \frac{1}{r_{\mathrm{eq}}}=\frac{1}{r_1}+\frac{1}{r_2} \\
& \frac{E_{\mathrm{eq}}}{r_{\mathrm{eq}}}=\frac{E_1}{r_1}+\frac{E_2}{r_2}
\end{aligned}$
If and
Statement 1 is false.
is less then both and
Statement II is true
$\begin{aligned}
& \frac{1}{r_{\mathrm{eq}}}=\frac{1}{r_1}+\frac{1}{r_2} \\
& \frac{E_{\mathrm{eq}}}{r_{\mathrm{eq}}}=\frac{E_1}{r_1}+\frac{E_2}{r_2}
\end{aligned}$
If and
Statement 1 is false.
is less then both and
Statement II is true