Answered

A lamp that uses 100.0 watts of power requires a voltage of 210.0 volts. What is the resistance of the lamp?

Verified Answer :

Resistance = Voltage/Current
Wattage = Voltage * Current

That means the current drawn by the lamp is equal to 100 watts divided by 210 volts.

Resistance =\(\frac{210}{ \frac{100}{210} }\)


Answer:

R = 441 ohms

Explanation :

It is given that,

Power of the lamp, P = 100 watts

Voltage, V = 210 volts

The power of an electrical appliance can be written as :

\(P=\dfrac{V^2}{R}\)

\(R=\dfrac{V^2}{P}\)

\(R=\dfrac{(210\ V)^2}{100\ W}\)

R = 441 ohms

So, the resistance of the lamp is 441 ohms

Hence, this is the required solution.