Current Electricity:Variable voltage, current in L, C and R
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Determine and plot as a function of time the current through a component if the voltage across it has the waveform shown in Figure and the component is a:
a) Resistor R = 7 Ω
b) Capacitor C = 0.5 μF
c) Inductor L = 7 mH
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Solution Summary
Graph of voltage verses time is given, the current through a resistor, capacitor or inductor separately is graphed.
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Determine and plot as a function of time the current through a component if the voltage across it has the waveform shown in Figure P4.17 and the component is a:
a) Resistor R = 7 Ω
b) Capacitor C = 0.5 μF
c) Inductor L = 7 mH
Answer:
a)
In case of a resistor the Ohm's law as gives the current
I = V/R
For the first interval of time 0-5 ms the current is increasing with voltage from
I = 0 at t = 0
to I = V/R = 15/7 = 2.143 A
linearly and then remains constant with voltage for next 5 ms. After that as the voltage becomes zero the current becomes zero and hence the graph is given as shown.
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b)
(Here no resistance is given means we have to consider a pure capacitance)
The potential ...
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