1. A battery can be modeled as a source of emf in series with both a resistance

Question

1. A battery can be modeled as a source of emf in series with both a resistance of 10 and an inductive reactance of 5 . For a maximum power delivered to the load, the load should have a resistance of RL = 10 , an inductive reactance of zero, and a capacitive reactance of 5 . With this load, is the circuit in resonance?

A)Yes

b)No    

c)It depends on the voltage provided by the battery.

2. With this load, what fraction of the average power put out by the source of emf is delivered to the load?

A)0

B)0.2

C)0.5

D)0.7

Explanation / Answer

(a)

As we can see that,

Xl = Xc

These two reactances cancel each other and allow maximum current to flow.

Hence,

Yes, The circuit is in resonance.

(b)

power out by the source emf is dissipated in the internal 10 ohm resistance,

Fraction = 1 / 2 = 0.5

answer

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