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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 &#937;
b) Capacitor C = 0.5 &#956;F
c) Inductor L = 7 mH

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

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)

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