Question

Two identical resistors each of resistance 15 ohm are connected 1) in series 2) in parallel, in line to a battery of 6volts. Calculate the ratio of power consumed in the combination of resistors in the two case. Class 10

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Answer 1

Answer:

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Answer 2

The ratio of power consumed in series combination to that of parallel combination = 1/4

For series combination -

The equivalent resistance(R') = 15 + 15 = 30 ohm

Current flowing in the circuit = I = 6/30 = 0.2 A

The power consumed = I²R' = (4/100)×30 = 12/10 W

For parallel combination -

The equivalent resistance (R) = (15×15)/30 = 7.5 ohm

Voltage in the circuit = V = 6 volts

The power consumed in the combination = V²/R

= 36/7.5 W

Ratio of power consumed in series combination upon parallel combination= (12/10)/(36/7.5)

= (12×7.5)/360

= 90/360

= 1/4