Question 115: AC fundamentals

Question

A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R = 3 k$$\Omega$$, an inductor of inductive reactance X
L
= 250 $$\pi$$$$\Omega$$ and an unknown capacitor. The value of capacitance to maximize the average power should be : (Take $$\pi$$
2
= 10)

Accepted Answer

From maximum average power
X
L
= X
C
250$$\pi$$ = $${1 \over {2\pi (50)C}}$$
$$ \Rightarrow $$ C = 4 $$	imes$$ 10
$$-$$6

Answer

4 $$\mu$$F

Answer

25 $$\mu$$F

Answer

400 $$\mu$$F

Answer

40 $$\mu$$F

AC fundamentals

A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R = 3 k$\Omega, an inductor of inductive reactance X L = 250 \pi\Omega and an unknown capacitor. The value of capacitance to maximize the average power should be : (Take \pi$ 2 = 10)

Choose the correct answer: