Question #1036e

2 Answers
Aug 4, 2017

Secondary coil:
Voltage = #1800V#
Current = #1A#

Explanation:

The transformer equation: #(V_p)/(V_s)=(N_p)/(N_s)#, where
#V_p# = voltage through primary coil.
#V_s# = voltage through secondary coil.
#N_p# = number of coils in the primary coil.
#N_s# = number of coils in the secondary coil.

Therefore, we have #120/(V_s)=100/1500#

#V_s=(120*1500)/100=1800V#

Overall power remains constant, although it wouldn't actually, energy would be lost as heat, but forget about that for this.

#P=VI#

#15*120=1800*A_s#

#A_s=(15*120)/1800=1A#

Aug 4, 2017

a). A step up transformer will increase the voltage connected in its input side and present it at the output.

Step up factor#="Number of loops in the secondary coil"/"Number of loops in the primary coil"#

and

Output Voltage#="Step up factor"xx"Input Voltage"#

For the given transformer
Step up factor#=1500/100=15#.
Voltage produced in the secondary circuit#=15xx120= 1800 V#.

b). Ignoring resistive losses and losses due to eddy currents

Input Power #=#Output Power

Input Voltage#xx#Current of the input circuit#=#
Output Voltage#xx#Current of the output circuit

#:.120 xx 15 = 1800xxI_o#
#=> I_o=(120 xx 15)/1800=1A#