In given circuit determine

Physics Current Electricity Combination of Resistance MCQ (Single Correct)

Equivalent resistance (Including internal resistance).

Current i, i 1 , i 2 and i 3

Potential difference across battery and each resistance

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) Which resistance consumes maximum power? (h) Power dissipated across 4 Ω Ω resistance

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[ R = 3 Ω Ω

i = 2A, i 1 = A, i 2 = 1A, i 3 = A

V = 4V in each

12 W

(e) 4W

(f) 8 W

(g) 4 Ω Ω

(h) 4W]

Sol. R eq = 2 + 1 = 3 Ω Ω

i = = = 2 A

i 1 + i 2 + i 3 = 2

i 1 : i 2 : i 3 = : : = 1 : 2 : 1

i 1 = i 3 = A,

i 2 = 1 A

V across battery = ε – ir = 6 – 2 × 1 = 4 V

V across each cell = 4 V

P of the cell consumed P = εi = 12 W

(e) P heat generated in cell P = i 2 r = 4 W

(f) P output = εi – i 2 r = 8 W

(g) In parallel, P α , 4 Ω Ω consumes max power

(h) P 4 Ω Ω = = = 4 W

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