(C) In a series $RLC$ circuit,the total voltage (source $e.m.f.$) is given by the phasor sum of the individual potential differences:$V_{source} = \sq

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(C) In a series $RLC$ circuit,the total voltage (source $e.m.f.$) is given by the phasor sum of the individual potential differences:$V_{source} = \sqrt{V_R^2 + (V_L - V_C)^2}$Given:$V_R = 30 \,V$$V_L = 60 \,V$$V_C = 100 \,V$Substituting these values into the formula:$V_{source} = \sqrt{(30)^2 + (60 - 100)^2}$$V_{source} = \sqrt{(30)^2 + (-40)^2}$$V_{source} = \sqrt{900 + 1600}$$V_{source} = \sqrt{2500} = 50 \,V$Thus,the $e.m.f.$ of the source is $50 \,V$.

Class 12 Physics Alternating Current RL, RC and LC AC Circuits

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In a series $RLC$ circuit,the potential differences across $R, L$ and $C$ are $30 \,V, 60 \,V$ and $100 \,V$ respectively,as shown in the figure. The $e.m.f.$ of the source (in volts) is:

A
$190$
B
$70$
C
$50$
D
$40$

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Alternating Current

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RL, RC and LC AC Circuits

If $A$ and $B$ are identical bulbs,which bulb glows brighter?

Easy

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An induction coil has an impedance of $10\,\Omega$. When an $AC$ signal of frequency $1000\,Hz$ is applied to the coil,the voltage leads the current by $45^o$. The inductance of the coil is

Difficult

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Match List-$I$ with List-$II$:

List-$I$ List-$II$

$(a)$ Phase difference between current and voltage in a purely resistive $AC$ circuit $(i)$ $\frac{\pi}{2}$; current leads voltage

$(b)$ Phase difference between current and voltage in a pure inductive $AC$ circuit $(ii)$ zero

$(c)$ Phase difference between current and voltage in a pure capacitive $AC$ circuit $(iii)$ $\frac{\pi}{2}$; current lags voltage

$(d)$ Phase difference between current and voltage in an $LCR$ series circuit $(iv)$ $\tan^{-1}\left(\frac{X_C - X_L}{R}\right)$

Choose the most appropriate answer from the options given below:

List-$I$	List-$II$
$(a)$ Phase difference between current and voltage in a purely resistive $AC$ circuit	$(i)$ $\frac{\pi}{2}$; current leads voltage
$(b)$ Phase difference between current and voltage in a pure inductive $AC$ circuit	$(ii)$ zero
$(c)$ Phase difference between current and voltage in a pure capacitive $AC$ circuit	$(iii)$ $\frac{\pi}{2}$; current lags voltage
$(d)$ Phase difference between current and voltage in an $LCR$ series circuit	$(iv)$ $\tan^{-1}\left(\frac{X_C - X_L}{R}\right)$

MediumJEE MAIN 2021

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When a current of $4 A$ at $50 Hz$ is passed through a coil,the power consumed by the coil is $240 W$. If the voltage of the $AC$ source is $100 V$,what is the inductance of the coil?

Medium

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In the given figure,the current amplitude is

Medium

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In a series $RLC$ circuit,the potential differences across $R, L$ and $C$ are $30 \,V, 60 \,V$ and $100 \,V$ respectively,as shown in the figure. The $e.m.f.$ of the source (in volts) is:

Similar Questions

If $A$ and $B$ are identical bulbs,which bulb glows brighter?

An induction coil has an impedance of $10\,\Omega$. When an $AC$ signal of frequency $1000\,Hz$ is applied to the coil,the voltage leads the current by $45^o$. The inductance of the coil is

When a current of $4 A$ at $50 Hz$ is passed through a coil,the power consumed by the coil is $240 W$. If the voltage of the $AC$ source is $100 V$,what is the inductance of the coil?

In the given figure,the current amplitude is

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