Question

Two bulbs one of $50watts$ and another of $25watts$ are connected in series to the mains. Find the ratio of the currents through them.

Answer 1

Step 1: Given data

Power of bulbs,

$$\begin{gathered} P_1=50watts \\ {P}_2=25watts \end{gathered}$$

Step 2: To find

We have to find the ratio of current through the bulbs.

Step 3: Calculation

We know the formula,

$P=VI=I^{2}R$

or,

$\frac{P_1}{P_2}=\frac{V_{1}I}{V_{2}I}$

Here,

P is the power.

V is the voltage.

I is the current.

R is the resistance.

‘I’ will be constant here. $I$ is current.

As the bulbs are in series the same current flows through each of them.

Therefore, the ratio will be $1:1$.