Give step-by-step solution with explanation and final answer:
transformer has
5
0
0
turns in its primary and
1
0
0
turns in its secondary
.
If the primary voltage is
1
0
0
0
V
,
what is the

Question

Give step-by-step solution with explanation and final answer:
transformer has 
5
0
0
 ﻿turns in its primary and 
1
0
0
 ﻿turns in its secondary
.
 ﻿If the primary voltage is 
1
0
0
0
V
,
 ﻿what is the secondary voltage?

VIPSolutions · Accepted Answer

# Step-by Solution: Transformer Voltage Calculation

## Given Data

- Number of primary turns, $ N_p = 500 $
- Number of secondary turns, $ N_s = 100 $
- Primary voltage, $ V_p = 100 $ V

## Transformer Voltage Ratio Formula

The relationship between the voltages and the turns in an ideal transformer is:
$$
\frac{V_s}{V_p} = \frac{N_s}{N_p}
$$
where:
- $ V_s $ = Secondary voltage
- $ V_p $ = Primary voltage
- $ N_s $ = Number of turns in the secondary coil
- $ N_p $ = Number of turns in the primary coil

## Step 1: Substitute the Values

$$
\frac{V_s}{100} = \frac{100}{500}
$$

## Step 2: Simplify the Ratio

$$
\frac{100}{500} = \frac{1}{5}
$$

So,
$$
\frac{V_s}{100} = \frac{1}{5}
$$

## Step 3: Solve for $ V_s $

Multiply both sides by 100:

$$
V_s = 100 \times \frac{1}{5}
$$

$$
V_s = 200 \text{ V}
$$

---

## Final Answer

**The secondary voltage is $\boxed{200 \text{ V}}$.**

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Give step-by-step solution with explanation and final answer: transformer has 5 0 0 turns in its primary and 1 0 0 turns in its secondary . If the primary voltage is 1 0 0 0 V , what is the secondary voltage?

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