Answer to Question #248110 in Electrical Engineering for Kas

Question #248110

Derive the resonant frequency for series RLC circuit. [4marks]

for maximum power transfer. [5 marks]

i. The value of 𝑅𝐿

a

ii. Find the maximum power. [5 marks]

b

(c)Given the circuit of fig 5.1below. Determine;

12Ω

(b)Derive maximum power transfer formula. [4marks]

12V

iii. State the condition for maximum power transfer. [2 marks]

RL2A

3Ω2Ω


1
Expert's answer
2021-10-07T23:41:51-0400


i) I = I0 (1 − et/τ) (turning on),

is the current in an RL circuit when switched on (Note the similarity to the exponential behaviour of the voltage on a charging capacitor). The initial current is zero and approaches I0 = V/R with a characteristic time constant τ for an RL circuit, given by


ii)

The condition for maximum power dissipation across the load is RL=RTh. That means, if the value of load resistance is equal to the value of source resistance i.e., Thevenin's resistance, then the power dissipated across the load will be of maximum value.


Power deviation

The power absorbed by the load is


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