(C) The root mean square $(RMS)$ current is given by Ohm's law: $I_{rms} = \frac{V_{rms}}{R} = \frac{200 \ V}{40 \ \Omega} = 5 \ A$.The peak current $

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(C) The root mean square $(RMS)$ current is given by Ohm's law: $I_{rms} = \frac{V_{rms}}{R} = \frac{200 \ V}{40 \ \Omega} = 5 \ A$.The peak current $(I_0)$ is related to the $RMS$ current by the formula: $I_0 = I_{rms} \times \sqrt{2}$.Substituting the values: $I_0 = 5 \times 1.414 = 7.07 \ A$.Therefore,the peak value of the electric current is approximately $7 \ A$.

Class 12 Physics Alternating Current Alternating Current, Voltage (rms and Average)

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$A$ $40 \ \Omega$ electric heater is connected to a $200 \ V, 50 \ Hz$ mains supply. The peak value of electric current flowing in the circuit is approximately......$A$

A
$2.5$
B
$5$
C
$7$
D
$10$

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Class 12 Questions

Class 12

Physics Questions

Chapter

Alternating Current

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Alternating Current, Voltage (rms and Average)

Voltage and current in an $ac$ circuit are given by $V = 5\sin(100\pi t - \frac{\pi}{6})$ and $I = 4\sin(100\pi t + \frac{\pi}{6})$. Which of the following statements is correct?

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In an $AC$ circuit,the current is given by $I = 100 \sin(200 \pi t)$. The time required for the current to achieve its peak value will be:

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If ${E_0}$ represents the peak value of the voltage in an ac circuit,the r.m.s. value of the voltage will be

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$A$ direct current of $5\,A$ is superposed on an alternating current $I = 10 \sin \omega t$ flowing through a wire. The effective value of the resulting current will be

Medium

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The voltage of domestic $AC$ is $220\,V$. What does this represent?

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$A$ $40 \ \Omega$ electric heater is connected to a $200 \ V, 50 \ Hz$ mains supply. The peak value of electric current flowing in the circuit is approximately......$A$

Similar Questions

Voltage and current in an $ac$ circuit are given by $V = 5\sin(100\pi t - \frac{\pi}{6})$ and $I = 4\sin(100\pi t + \frac{\pi}{6})$. Which of the following statements is correct?

In an $AC$ circuit,the current is given by $I = 100 \sin(200 \pi t)$. The time required for the current to achieve its peak value will be:

If ${E_0}$ represents the peak value of the voltage in an ac circuit,the r.m.s. value of the voltage will be

$A$ direct current of $5\,A$ is superposed on an alternating current $I = 10 \sin \omega t$ flowing through a wire. The effective value of the resulting current will be

The voltage of domestic $AC$ is $220\,V$. What does this represent?

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