COMEDK · Physics · 23. Alternating Current
A solenoid having resistance \(R = 60\ \Omega\) and inductance \(L = 0.4\ H\) is connected to an AC source \(V = 100\sqrt{2}\sin 200t\). Find the maximum current.
- A \(1.414\ \text{A}\)
- B \(2.828\ \text{A}\)
- C \(0.707\ \text{A}\)
- D \(1.732\ \text{A}\)
Answer & Solution
Correct Answer
(A) \(1.414\ \text{A}\)
Step-by-step Solution
Detailed explanation
Given the AC source equation \(V = 100\sqrt{2}\sin(200t)\), the peak voltage is \(V_m = 100\sqrt{2}\ \text{V}\) and the angular frequency is \(\omega = 200\ \text{rad/s}\). The inductive reactance of the solenoid is: \(X_L = \omega L = 200 \times 0.4 = 80\ \Omega\) The impedance…
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