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QPage 329: Q7: HC Verma: Concepts of Physics - Volume 2 Alternating Current Page 329: Q7 Solution: A series AC circuit has a resistance of and a reactance of .…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often mistakenly add resistance and reactance directly ($R + X$) to get $7 \ \Omega$, ignoring that they are perpendicular components in the impedance triangle. Always use the Pythagorean theorem ($Z = \sqrt{R^2 + X^2}$) because resistance and reactance are in phase quadrature.

A series AC circuit has a resistance of 4 Ω4 \ \Omega and a reactance of 3 Ω3 \ \Omega. The impedance of the circuit is

Multiple Choice Options

  • A 5 Ω5 \ \Omega
  • B 7 Ω7 \ \Omega
  • C 12/7 Ω12/7 \ \Omega
  • D 7/12 Ω7/12 \ \Omega

Step-by-Step Verified Solution

**Answer:** (a) 5 �. **Step-by-Step Explanation:** Z = �(R_ + X_) = �(4_ + 3_) = 5 �.

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