Physics Current Electricity Combination of Resistance MCQ (Single Correct)

In the given circuit determine

A
Equivalent resistance (Including internal resistance).
B
Current in each resistance
C
Potential difference across each resistance
D
The rate at which the chemical energy of the cell is consumed (e) The rate at which heat is generated inside the battery (f) Electric power output (g) Potential difference across battery (h) Which resistance consumes maximum power (i) Power dissipated in 3 Ω Ω resistance.

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[ R = 10 Ω Ω

1A in each

V 3 = 3V, V 2 = 2V, V 4 = 4V

10 W

(e) 1 W

(f) 9W

(g) 9V

(h) 4 Ω Ω resistance

(i) 3 W.]

Sol. R eq = R 1 + R 2 + R 3 + r = 10 Ω Ω

i = = = 1 A

V 3 Ω Ω = 1 × 3 = 3 V, V 4 Ω Ω = 1 × 4 = 4V, V 2 Ω Ω = 1 × 2 = 2V

P consumed = εi = 10 × 1 = 10 W

(e) P generated =i 2 r = 1 W inside the battery

(f) P output = (ε – ir)i = 10 – 1 = 9 W

(g) V battery = ε – ir = 9 V

(h) In series, P R 4 Ω Ω consumes maximum power 4 Ω Ω

(i) P 3 Ω Ω = i 2 R = 3 W.

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