Electrical Power and Machines- Single Phase- Tutorial

8/9/2019 Electrical Power and Machines- Single Phase- Tutorial

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Extra Exercises

1. Single Phase

1.1 Given the sinusoidal voltage v(t ) = 50 cos (30 t + 10 o ) V !nd" (a) thea#$litude V m (%)

the $eriod T and (c) the &re'uenc f .

1. *hat is the instantaneous voltage across a , - ca$acitor hen thecurrent through it is i = / cos(10 t + 5 o ) 2

1.3 voltage v(t ) = 100 cos( 0 t + 0 o ) V is a$$lied to a $arallel co#%inationo& a /0 4

resistor and a 50 , - ca$acitor. -ind the stead state currents throughthe resistor and the

ca$acitor.

1./ series RLC circuit has R = 0 4 L = /0 #6 and C = 5 #-. 7& the in$utvoltage is

v(t ) = 10 cos t !nd the currrent 8o ing through the circuit.

1.5 -or the net or %elo !nd the load current I L .

1.6 -ind current i in the circuit hen v s (t ) = 50 cos 00 t V.

1.7 9eter#ine the ad#ittance Y &or the circuit.



1. -ind i(t ) and v(t ) in each o& the circuits

1.: -or the circuit sho n in -ig. :./ !nd ; eg and use that to !nd current I . <et= 10

rad>s.

1.10 9eter#ine v x in the circuit.<et i s (t ) = 5 cos(100 t + /0 o ) .



1.11 Use nodal analysis to find vo in the circuit

1.12 Use nodal analysis to find vo in the circuit shown. Let ω = 2 krad/s.

1.13 Using nodal analysis, find io(t in the circuit.

1.1! "y nodal analysis, find io in the circuit.



1.15 "y using #esh analysis, find I 1 and I 2 in the circuit.

1.16 Use #esh analysis to deter#ine current I o in the circuit $elow.

1.17 %eter#ine V o and I o in the circuit using #esh analysis.

1.18 Use #esh analysis to find I o .

Electrical Power and Machines- Single Phase- Tutorial

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