Electric power can be defined as the rate at which work is done or energy is converted into an electrical circuit. It is basically a measurement of energy used in a span of time.
Step 1: Use of Formula
In order to calculate, we need to use the formula of electric power, which is given by:
| P = VI |
Here,
- P = Power
- V = Potential difference in Circuit
- I = Electric Current
Power can be represented as:
⇒ P = I2R
⇒ \(P = {{V^2} \over R}\)
The two expressions were obtained by using Ohm’s Law, wherein Voltage, Current, and Resistance are all interrelated with one another. Ohm’s Law is given by:
| V = IR |
Where,
- R = Resistance in the Circuit
- V = Potential difference
- I = Electric Current
Step 2: Find Solution
Let’s first consider the following readings:
- A voltage of the source = V
- Resistance of each bulb = R
Hence, \(R = {{V^2} \over P}\)
The amount of Power drawn by each bulb can be given by = i2R = \({{V^2} \over n^2R^2} \times R\)
=\({{V^2} \over n^2R} \)
= \({{P} \over n^2}\)
Read Also: Ohm’s Law and its Limitations
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