Question

Two resistors of resistance 10 ohm and 20 ohm are joined in series.A potential difference of 12 V is applied across the combination. Find the Power consumed by each each resistor.​

Answer 1

Answer:

GIVEN:

Resistance, R1 = 10 ohm

Resistance, R2 = 20 ohm

Potential difference, V = 12 volt

SOLUTION:

⇒Since the resistors are connected in parallel, the potential difference across each resistors are same.

⇒Potential difference across 10 ohm resistor is 12 volt.

⇒Potential difference across 20 ohm resistor is also 12 volt.  

⇒Let P1 be the power consumed by 10 ohm resistor.

⇒Power across 10 ohm resistor is 14.4 watt.

⇒Let P2 be the power consumed by 20 ohm resistor.

⇒Power across 20 ohm resistor is 7.2 watt.

ANSWER:

Power consumed by 10 ohm resistor is 14.4 watt.

Power consumed by 20 ohm resistor is 7.2 watt.

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Answer 2

the answer is 1.6w and 3.2 w

Explanation

Power=voltage x current or P=VI=I x I x R

Power=voltage x current or P=VI=I x I x RWith 12V applied across the series combination, then, I=V/R =12V/30ohms= 0.4amps or 400milliamps

Power=voltage x current or P=VI=I x I x RWith 12V applied across the series combination, then, I=V/R =12V/30ohms= 0.4amps or 400milliampsTherefore (1)… P=.4x.4x10=1.6W

Power=voltage x current or P=VI=I x I x RWith 12V applied across the series combination, then, I=V/R =12V/30ohms= 0.4amps or 400milliampsTherefore (1)… P=.4x.4x10=1.6W& (2)… P=.4x.4x20=3.2W