Transformer example problem: Difference between revisions

From Class Wiki
Jump to navigation Jump to search
No edit summary
Line 1: Line 1:
===Problem:===
===Problem:===
An ideal transformer with a 300 turn primary connected to a 240 V, 60 Hz supply line is to output 110 V from the secondary. If a 100 Ω resistor is connected across the secondary, determine: A) how many turns the secondary must have. B) The current through the resistor, C)The current drawn through the primary.
An ideal transformer with a 300 turn primary connected to a 480 V, 60 Hz supply line is to output 120 V from the secondary. If a 100 Ω resistor is connected across the secondary, determine: A) how many turns the secondary must have. B) The current through the resistor, C)The current drawn through the primary.


===Solution:===
===Solution:===
Line 14: Line 14:




<math>\frac{240 \ volts}{110 \ volts} = \frac{300}{N_2}</math>
<math>\frac{480 \ volts}{120 \ volts} = \frac{300}{N_2}</math>
<br/>
<br/>
<br/>
<br/>
<math>N_2 = \frac{300 \cdot 110}{240}</math>
<math>N_2 = \frac{300 \cdot 120}{480}</math>

Revision as of 20:51, 17 January 2010

Problem:

An ideal transformer with a 300 turn primary connected to a 480 V, 60 Hz supply line is to output 120 V from the secondary. If a 100 Ω resistor is connected across the secondary, determine: A) how many turns the secondary must have. B) The current through the resistor, C)The current drawn through the primary.

Solution:

Part A:



Where Voltage across primary, Voltage across secondary, Number of turns in primary, Number of turns in secondary