Question

An inductor coil, capacitor, and an A.C. source of rms voltage 24 V are connected in series. When the frequency of the source is varied, a maximum rms current of 6.0 A is observed. If this inductor coil is connected to a battery of emf 12 V and of internal resistance 4Ω, the current will be ______ Amp.

Options

• 2.00

• 1.50

• 3.00

• 4.00

Answer 1

An inductor coil, capacitor, and an A.C. source of rms voltage 24 V are connected in series. When the frequency of the source is varied, a maximum rms current of 6.0 A is observed. If this inductor coil is connected to a battery of emf 12 V and of internal resistance 4Ω, the current will be 1.50 Amp.

Explanation:

Current at resonance = `V/R`

⇒ R = `V/I = 24/6` = 4Ω

Current by 12 V battery,

= `E/(R + r) = 12/(4 + 4)` = 1.5 A