Question 12: Electromagnetic Induction

Question

A transformer of $$100 \%$$ efficiency has 200 turns in the primary and 40000 turns in the secondary. It is connected to a $$220 \mathrm{~V}$$ main supply and secondary feeds to a $$100 \mathrm{~K} \Omega$$ resistance. The potential difference per turn is

Accepted Answer

To find the potential difference per turn in the transformer, we need to understand the primary and secondary voltage relationship. Given that the transformer has a high efficiency, we will assume it's ideal for simplicity.
The transformer formula relating the number of turns and the voltage in primary and secondary windings is given by:
$$\frac{V_p}{V_s} = \frac{N_p}{N_s}$$
Where:
$$V_p$$ is the primary voltage
$$V_s$$ is the secondary voltage
$$N_p$$ is the number of turns in the primary winding
$$N_s$$ is the number of turns in the secondary winding
Given:
$$V_p = 220 \, \mathrm{V}$$
$$N_p = 200$$
$$N_s = 40000$$
We need to find $$V_s$$, the secondary voltage. Rearrange the formula to solve for $$V_s$$:
$$V_s = V_p 	imes \frac{N_s}{N_p}$$
Substitute the given values:
$$V_s = 220 \, \mathrm{V} 	imes \frac{40000}{200}$$
Calculate $$V_s$$:
$$V_s = 220 \, \mathrm{V} 	imes 200 = 44000 \, \mathrm{V}$$
Now, we need to find the potential difference per turn. For an ideal transformer, this is the same for both primary and secondary because the voltage per turn is consistent in an ideal transformer. We can use the primary coil to find this:
Potential difference per turn (in primary) is:
$$\frac{V_p}{N_p}$$
Substitute the values for $$V_p$$ and $$N_p$$:
$$\frac{220 \, \mathrm{V}}{200 \, 	ext{turns}} = 1.1 \, \mathrm{V \, per \, turn}$$
Therefore, the potential difference per turn is:
Option D: 1.1 V

Answer

11 V

Answer

18 V

Answer

25 V

Answer

1.1 V

Electromagnetic Induction

A transformer of $100 \% efficiency has 200 turns in the primary and 40000 turns in the secondary. It is connected to a 220 \mathrm{~V} main supply and secondary feeds to a 100 \mathrm{~K} \Omega$ resistance. The potential difference per turn is

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