Electric Energy

A household electric power outlet (assume 220 V constant voltage) is fused to cut at if the current equals or exceeds 20 Ampere. A 2 kW heater, 1kW Air conditioner and three 100 W bulbs are already running at rated power. If now somebody wants to run a computer then computer can run without causing fuse to burn if power requirement of computer is (neglect losses in current carrying wire).

C: 100 W B: 1000 W D: 1200 W A : 1100 W ABC

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1 solution

Sumant Chopde
Jan 5, 2019

In a circuit, the powers of the appliances always add up. Let the power of the computer be x x W. Therefore, the total power in the circuit is equal to

P T o t a l = 2000 + 1000 + 3 100 + x P_{Total} = 2000 + 1000 + 3*100 + x .

ie. P T o t a l = ( 3300 + x ) W P_{Total} = (3300 + x) W .

P o w e r = I V Power = I * V . Hence, I = ( 3300 + X ) / 220 I = (3300 + X)/220 .

But I 20 A I ≤ 20 A .

Hence I 1100 I ≤ 1100 .

Therefore, A B C ABC is the correct option.

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