Three resistors of value $2 R$ , $R$ , and $4 R$ are wired in series to a battery with a voltage $v$ .
Derive an expression for the current on the resistor with a value of $R$ .

V / R

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V / (7 R)

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(7 V) / R

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R / V

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Solution

The correct option is B $V / (7 R)$
Equivalent resistance of series combination $R_{e q} = R_{1} + R_{2} + R_{3}$
$⟹$ $R_{e q} = 2 R + R + 4 R = 7 R$
$∴$ Current through $R$ $I = \frac{V}{R_{e q}} = \frac{V}{7 R}$

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Three resistors of value 2R, R, and 4R are wired in series to a battery with a voltage v.Derive an expression for the current on the resistor with a value of R.

The correct option is B V/(7R)Equivalent resistance of series combination Req=R1+R2+R3⟹ Req=2R+R+4R=7R∴ Current through R I=VReq=V7R

Three resistors of value $2 R$ , $R$ , and $4 R$ are wired in series to a battery with a voltage $v$ .
Derive an expression for the current on the resistor with a value of $R$ .

The correct option is B $V / (7 R)$
Equivalent resistance of series combination $R_{e q} = R_{1} + R_{2} + R_{3}$
$⟹$ $R_{e q} = 2 R + R + 4 R = 7 R$
$∴$ Current through $R$ $I = \frac{V}{R_{e q}} = \frac{V}{7 R}$