Question

In: Physics

An ideal transformer has 50 turns in its primary and 250 turns in its secondary. 12...

An ideal transformer has 50 turns in its primary and 250 turns in its secondary. 12 V ac is connected to the primary. Find:

a. The voltage ac available at the secondary.

b. Current in the 10 ohms device connected to the secondary.

c. Power supplied to the primary.

d. Power supplied to the secondary.

Solutions

Expert Solution

a) Let the voltage ac available at the secondary is Vs.

Given that the primary ac voltage Vp=12 V.

The primary turns Np=50 Turns.

The secondary turns Ns=250 Turns.

We know from the transformer principles

  

The voltage ac available at the secondary is 60 V.

b) Let the current in the device connected to the secondary is Is.

Given that the resistance of the device Rs=10 Ohms.

The secondary ac voltage Vs=60 V.

   The current in the device is

  

     

  

The current in the device connected to the secondary is 6 A.

c) Let the power supplied to the primary is Pp.

The ac voltage connected to the primary is Vp=12 V.

Let the current in the primary is Ip.

   The current to the primary is

  

  

The power supplied to the primary is

  

The power supplied to the primary is 360 Watts.

d) Let the power supplied to the secondary is Ps.

The current in secondary is Is=6 A.

The voltage in secondary is Vs=60 V.

   The power supplied to secondary is

  

  

   The power supplied to secondary is 360 Watts.


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