Two conductors made of the same material have lengths $L$ and $2 L$ , but have equal resistances. The two are connected in series in a circuit in which current is flowing Which of the following is/are correct?

The potential difference across the two conductors is the same

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The electron drift velocity is larger in the conductor of length

2 L

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The electric field in the first conductor is twice than that in the second

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The electric field in the second conductor is twice than that in the first

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Solution

The correct options are
A The potential difference across the two conductors is the same
B The electron drift velocity is larger in the conductor of length $2 L$
C The electric field in the first conductor is twice than that in the second
A.
Since the resistors are equal,and equal amount of current is flowing through them,the potential difference across the two conductors is the same.
B.
We know,
$I = n e A v_{d}$ ,
Since.
$L_{1} = 2 L_{2}$ and $R_{1} = R_{2} ⟹ A_{1} = 2 A_{2}$
for $I_{1} = I_{2}, v_{d} \propto \frac{1}{A} ⟹ 2 v_{d 1} = v_{d 2}$
C.
$v_{d} = μ E ⟹ 2 E_{1} = E_{2}$

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Question 26
A current of 1 ampere flows in a series circuit containing an electric lamp and a conductor of 5 $Ω$ when connected to a 10 V battery. Calculate the resistance of the electric lamp.
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Two conductors made of the same material have lengths L and 2L, but have equal resistances. The two are connected in series in a circuit in which current is flowing Which of the following is/are correct?

Two conductors made of the same material have lengths $L$ and $2 L$ , but have equal resistances. The two are connected in series in a circuit in which current is flowing Which of the following is/are correct?