55.5k views
4 votes
When three identical bulbs of 60W,200V rating are connected in series to a 200V supply, the power drawn by them will be

A. 180 watt
B. 10watt
C. 20 watt
D. 60watt

1 Answer

5 votes

Final answer:

When three identical bulbs of 60W, 200V rating are connected in series to a 200V supply, the power drawn by them will be C. 20 watt.

Step-by-step explanation:

When three identical bulbs of 60W, 200V rating are connected in series to a 200V supply, the power drawn by them will be C. 20 watt. In a series circuit, the total resistance is equal to the sum of individual resistances.

Since the bulbs are connected in series, the voltage across each bulb will be 200V/3 = 66.67V.

The power drawn by each bulb can be calculated using the formula

P = V^2/R,

where P is the power, V is the voltage, and R is the resistance.

Since the voltage across each bulb is 66.67V and the power rating is 60W, we can rearrange the formula to solve for resistance:

R = V^2/P.

Plugging in the values,

R = (66.67V)^2 / 60W = 74.08 ohms.

Therefore, the power drawn by each bulb in a series circuit is given by

P = V^2 / R

= (66.67V)^2 / 74.08 ohms = 60W.

User Yeraze
by
7.6k points