When D.C. is applied across a coil, a current of flows through it. When A.C. of frequency is applied to the same coil only current flows through it. Calculate the resistance, impedance, and self-inductance of the coil?
Step 1: Given data
Current in D.C,
Current in A.C,
Frequency =
D.C. is applied across a coil.
A.C. is applied to the same coil.
Step 2: Formula used
Here, R is the resistance, I is current, and V is the voltage or potential difference.
Here, R is the resistance, Z is the impedance, and L is the inductance.
Step 3: Determine the resistance
In the case of a coil circuit
,
When DC is applied,
Here,
R is the resistance.
I is the current.
V is the voltage or potential difference.
Step 3: Calculate the Impedance:
When AC of is applied
,
Step 4: Find the self-inductance of the coil
By using the impedance formula, we get
Now,
Here,
R is the resistance.
Z is the impedance.
L is the inductance.
We know that, then,
Then,
Self-inductance will be:
Therefore, the resistance, impedance, and self-inductance of the coil are respectively..