Combination of Resistors: Practice Problem & Solution
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.
Solution Explained:
To solve this problem, we apply the core principles of Combination of Resistors. Understanding the underlying formula is key to arriving at the correct answer below:
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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