WBJEE · Physics · Current Electricity
A non-zero current passes through the galvanometer \(G\) shown in the circuit when the key \(K\) is closed and its value does not change when the key is opened. Then, which of the following statement(s) is/are true?
- A The galvanometer resistance is infinite.
- B The current through the galvanometer is \(40 \mathrm{mA}\).
- C After the key is closed, the current through the \(200 \Omega\) resistor is same as the current through the \(300 \Omega\) resistor.
- D The galvanometer resistance is 150\(\Omega\)
Answer & Solution
Correct Answer
(D) The galvanometer resistance is 150\(\Omega\)
Step-by-step Solution
Detailed explanation
\(\therefore I_{C}=\frac{10}{100+G}\) \(300 I_{3}=\frac{10}{100+G} G\) \(I_{3}=\frac{G}{30}\left[\frac{1}{100+G}\right]\) \(\therefore \quad I_{3}+I_{G}=\frac{1}{(100+G)}\left[10+\frac{G}{30}\right]=\frac{(300+G)}{(100+G) \times 30}\) According to the problem,…
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