Consider the circuit shown in Figure P3.71 in which v C ( t ) = 10 sin ( 1000 t ) V, with the argument of the sine function in radians Find i ( t ) , V L (t), v(t), me energy stored in the capacitance, the energy stored in the inductance, and the total stored energy Show mat the total stored energy is constant with time Comment on the results Figure P3.71
Consider the circuit shown in Figure P3.71 in which v C ( t ) = 10 sin ( 1000 t ) V, with the argument of the sine function in radians Find i ( t ) , V L (t), v(t), me energy stored in the capacitance, the energy stored in the inductance, and the total stored energy Show mat the total stored energy is constant with time Comment on the results Figure P3.71
Consider the circuit shown in Figure P3.71 in which
v
C
(
t
)
=
10
sin
(
1000
t
)
V, with the argument of the sine function in radians Find
i
(
t
)
, VL(t), v(t), me energy stored in the capacitance, the energy stored in the inductance, and the total stored energy Show mat the total stored energy is constant with time Comment on the results
The circuit shown in Figure P3.72 has i L ( t )= 0.1 cos( 5000t ) A in which the argumentof the cos function is in radians. Find v(t), i C ( t ), i(t), the energy stored in the capacitance, theenergy stored in the inductance, and the total stored energy. Show that the total stored energy is constant with time. Comment on the results.
A 0.1-μF capacitor has a parasitic series resistance of 10 Ω, as shown in Figure P3.39.Suppose that the voltage across the capacitance is v c ( t )=10 cos( 100t ); find the voltageacross the resistance. In this situation, to find the total voltage v( t )= v r ( t )+ v c ( t ) to within 1percent accuracy, is it necessary to include the parasitic resistance? Repeat if v c ( t )=0.1 cos(10 7 t ).
The mutually coupled inductances in Figure P3.74 have L 1 =1 H, L 2 =2 H, and M= 1 H. Furthermore, i 1 ( t )=sin( 10t ) and i 2 ( t )= 0.5 sin( 10t ). Find expressions for v 1 ( t ) and v 2 ( t). The arguments of the sine functions are in radians.
Chapter 3 Solutions
Electrical Engineering: Principles & Applications Plus Mastering Engineering with Pearson eText -- Access Card Package (7th Edition)
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