Fig. shows three similar lamps L1, L2 and L3 connected across a power supply.
If the lamp L3 fuse, how will the light emitted by L1 and L2 change ?
Answer & explanation
Correct answer: option 2
Let R be the resistance of each lamp. If E be the applied e.m.f., then the current in the circuit, I1, is given by
I1 = $\frac{E}{R+(R / 2)}=\frac{2 E}{3 R}$
Current flowing through L2 or L3 = $\frac{1}{2}\left[\frac{2 E}{3 R}\right]=\frac{E}{3 R}$
When L3 is fused, the whole current flows through L1 and L2.
Thus I2 = $\frac{E}{R+R}=\frac{E}{2 R}$
So, current through L1 decreases and through L2 increases. Hence option (b) is correct.