# Transformer Turns Ratio (Voltage Solution ## Given Data - turns, \(_p = \) - Secondary turns, \(_s = 100 \) - voltage, \( V_p = \,\text{V}) ## Step1: Write Transformer Voltage Ratio Formula For an transformer: \[ \frac{_s}{V_p} = \{N_sN_p} ] Where: - \( V_s) = Secondary voltage - \( V_p \) = Primary voltage - \( N_s \) = Number of turns in secondary - \( N_p \) = Number of turns in primary ## Step 2: Plug in the Values \[ \frac{V_s}{100} = \frac{100}{500} \] ## Step 3: Solve for \( V_s \) \[ \frac{100}{500} = .2 \] So, \[ \frac{V_s}{100} = .2 \] \[ V_s = .2 \times 100 \] \[ V_s = 200\,\text{V} \] ## Final Answer **The secondary voltage is \( \boxed{200\,\text{V}} \).**

# Transformer Turns Ratio (Voltage Solution) ## Given Data - **Primary turns, \( N_p \)**: 500 - **Secondary turns, \( N_s \)**: 100 - **Primary voltage, \( V_p \)**: 1000 V ## Step 1: Write Transformer Voltage Ratio Formula The relationship between the primary and secondary voltages in a transformer is given by: \[ \frac{V_s}{V_p} = \frac{N_s}{N_p} \] Where: - \( V_s \) = Secondary voltage - \( V_p \) = Primary voltage - \( N_s \) = Number of turns in secondary - \( N_p \) = Number of turns in primary ## Step 2: Plug in the Values Substituting the known values into the formula: \[ \frac{V_s}{1000} = \frac{100}{500} \] ## Step 3: Simplify the Ratio Calculating the right side: \[ \frac{100}{500} = 0.2 \] Now, we have: \[ \frac{V_s}{1000} = 0.2 \] ## Step 4: Solve for \( V_s \) To find \( V_s \): \[ V_s = 0.2 \times 1000 \] Calculating: \[ V_s = 200\,\text{V} \] ## Final Answer **The secondary voltage is \( \boxed{200\,\text{V}} \).**