Question

Two resistors of resistance R and 3R are connected in series in an electrical circuit. Calculate the ratio of the electric power consumed by R and 3R.

Answer 1

Given :

▪ Two resistors of resistance R and 3R are connected in series in an electrical circuit.

To Find :

➳ The ratio of electrical power consumed by R and 3R.

Concept :

⇒ We know that, Current flow through each resistor in series connection remains same.

⇒ Formula of electric power consumed by resistor in terms of current flow is given by

$\bigstar\:\underline{\boxed{\bf{P=I^2R}}}$

• P denoted power
• I denotes current
• R denotes resistance

⇒ Here, Current flow in each resistor is same, so we can say that

$\bigstar\:\underline{\boxed{\bf{P\propto R}}}$

Calculation :

$:\implies\sf\:\dfrac{P_1}{P_2}=\dfrac{R_1}{R_2}$

$:\implies\sf\:\dfrac{P_1}{P_2}=\dfrac{R}{3R}$

$:\implies\underline{\boxed{\bf{P_1:P_2=1:3}}}$