An electric heater and an electric bulb are rated 500W. 220V and 100W, 220V respectively. Both are connected in series to a 220V d.c. mains. Calculate the power consumed by (i) the heater ana (ii) electric bulb.

Explanation

To solve the problem, we need to calculate the power consumed by the electric heater and the electric bulb when they are connected in series to a 220V DC mains. We will follow these steps:

### Step 1: Calculate the Resistance of the Electric Heater
The power rating of the heater is given as 500W and its voltage rating is 220V. We can use the formula for power:
\[ P = \frac{V^2}{R} \]
From this, we can rearrange to find the resistance \( R_H \):
...