Question

Explain altemating current using circuit containing only resistance R and drawing graph of current and time (I —> t).

Answer 1

Explanation:

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Answer 2

I v/s t graph is in the attachment below

Explanation:

• let the circuit has only resistor of resistance R ohms and the voltage source gives an alternating output of $V(t)=vsin(wt)$ volts.
• since the voltage source changes its output in sinusoidal form with respect to time, it is called alternating input source(voltage)
• The current in the circuit at any instant is given by the ratio of voltage drop across the resistance at that instance to the resistance R
• The voltage drop across the resistor at any instant is given by the voltage output from the source at that instant, since there is only resistor element in the  circuit.
• There the voltage at any instance is the given by the function $V(t)$
• current as a function of time in the circuit is given by the function $I(t)=\frac{V(t)}{R}$
• this is can simplified to $I(t)=\frac{vsin(wt)}{R}$ and this also changes sinusoidally with time , this is alternating current flowing in the circuit.