An ac voltage is applied to a resistance R and an inductor L in series. If R and inductive reactance are both equal to 3 ohm, the phase difference between the applied voltage and the current in the circuit is
Question
An ac voltage is applied to a resistance R and an inductor L in series. If R and inductive reactance are both equal to 3 ohm, the phase difference between the applied voltage and the current in the circuit is
Solution
The phase difference in an RL circuit (a circuit with a resistor and inductor) can be found using the formula:
tan Φ = XL / R
where:
- Φ is the phase difference
- XL is the inductive reactance
- R is the resistance
Given that both the inductive reactance and resistance are equal (3 ohms), we can substitute these values into the formula:
tan Φ = 3 / 3 = 1
To find the phase difference, we need to find the arctangent (inverse tangent) of 1.
Φ = arctan(1)
This gives us a phase difference of 45 degrees. Therefore, the phase difference between the applied voltage and the current in the circuit is 45 degrees.
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