How would you connect two resistors in series? Draw a diagram. Calculate the total equivalent resistance.

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Solution

If current is drawn from the battery is I, the current through each resistor will also be I.
On applying Ohm's law to the resistors separately, we have

$V_{1} = I R_{1} V_{2} = I R_{2}$

Now, $V = V_{1} + V_{2} \Rightarrow I R = I R_{1} + I R_{2} \Rightarrow R = R_{1} + R_{2}$

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Combination of Resistors

Standard X Physics

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How would you connect two resistors in series? Draw a diagram. Calculate the total equivalent resistance.

If current is drawn from the battery is I, the current through each resistor will also be I. On applying Ohm's law to the resistors separately, we have V1=IR1V2=IR2 Now, V=V1+V2⇒IR=IR1+IR2⇒R=R1+R2

If current is drawn from the battery is I, the current through each resistor will also be I.
On applying Ohm's law to the resistors separately, we have

$V_{1} = I R_{1} V_{2} = I R_{2}$

Now, $V = V_{1} + V_{2} \Rightarrow I R = I R_{1} + I R_{2} \Rightarrow R = R_{1} + R_{2}$