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JEE PYQ: Current Electricity Question 67

Question 67 - 2019 (11 Jan 2019 Shift 1)

Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are now connected in parallel combination to the same battery, the electric power consumed will be:

(1) 60 W

(2) 240 W

(3) 120 W

(4) 30 W

Show Answer

Answer: (2)

Solution

In series: $R_{\text{eq}} = 2R$, $P = \frac{\varepsilon^2}{2R} = 60$ W. In parallel: $R_{\text{eq}} = R/2$. $P’ = \frac{\varepsilon^2}{R/2} = \frac{2\varepsilon^2}{R} = 4 \times 60 = 240$ W.


Learning Progress: Step 67 of 76 in this series