Electric Field in Series Wires – Rankers Physics
Topic: Current Electricity
Subtopic: Combination of Resistors

Electric Field in Series Wires

Assertion (A): When two conducting wires of different resistivity having same cross section area are joined in series, the electric field in them would be equal when they carry current.
Reason (R): When wires are in series they carry equal current.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Assertion (A) is false. For wires in series with the same cross-sectional area, the current density \(J\) is the same. The electric field is given by \(E = \rho J\). Since the resistivities (\(\rho\)) are different, the electric fields \(E\) must be different.


Reason (R) is true; components in a series circuit carry the same current. As Assertion (A) is false, options (A), (B), and (C) are incorrect. Option (D) states 'Both (A) and (R) are false', which is partially incorrect as (R) is true. However, being the only option where (A) is considered false, it is selected under the given multiple-choice structure.

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