Question

Calculate the output voltage in a transformer if input voltage is 240V and ratio of the number of turns in secondary to the primary coil is 3:2.

Can you please write the full solved answer.​

Answer 1

Given :

Input voltage = 240V

Ratio of the number of turns in secondary to the primary coil = 3 : 2

To Find :

Output voltage.

Solution :

❖ The voltage and currents in a transformer are related as

$\dag\:\underline{\boxed{\bf{\orange{\dfrac{V_s}{V_p}=\dfrac{I_p}{I_s}=\dfrac{N_s}{N_p}=k}}}}$

» For a step-up transformer, k > 1 and for a step-down transformer, k < 1

Given that, $\sf\dfrac{N_s}{N_p}=\dfrac{3}{2}$

By substituting the given values;

$\sf:\implies\:\dfrac{V_s}{V_p}=\dfrac{N_s}{N_p}$

$\sf:\implies\:\dfrac{V_s}{240}=\dfrac{3}{2}$

$\sf:\implies\:V_s=\dfrac{3\times 240}{2}$

$:\implies\:\underline{\boxed{\bf{\gray{V_s=360\:volt}}}}$

Knowledge BoosteR :

• A transformer is essentially an a.c. device. It can't work on d.c. It changes alternating voltages/currents. It doesn't affect the frequency of a.c.
• The small transformers are self-cooled, which transfer heat directly to the surrounding. Large transformers are cooled by placing them in oil tanks to prevent overheating.