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Question

Physics Question on Resistance

Two equal resistance when connected in series to a battery, consume electric power of 60W60\, W. If these resistances are now connected in parallel combination to the same battery, the electric power consumed will be :

A

60 W

B

240 W

C

30 W

D

120 W

Answer

240 W

Explanation

Solution

In series condition, equivalent resistance is 2R thus power consumed is 60W =ε22R = \frac{ \varepsilon^2}{2R} In parallel condition, equivalent resistance is R/2 thus new power is P=ε2(R/2)P' = \frac{\varepsilon^2}{(R / 2)} or P=4P=240WP' = 4\, P = 240\, W