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In an LC circuit containing a 40-mH ideal inductor and a 1.2-mF capacitor, the maximum charge on the capacitor is 45mC during oscillations. What is the maximum current through the inductor during the oscillations?

A) 3.7 A
B) 42 A
C) 2.5 A
D) 10 A
E) 6.5 A

Respuesta :

Answer:

E) 6.5 A

Explanation:

Given that

L = 40 m H

C= 1.2 m F

Maximum charge on capacitor ,Q= 45 m C

The maximum current I given as

I = Q.ω

ω =angular frequency

[tex]\omega=\dfrac{1}{\sqrt{CL}}[/tex]

By putting the values

[tex]\omega=\dfrac{1}{\sqrt{CL}}[/tex]

[tex]\omega=\dfrac{1}{\sqrt{40\times 10^{-3}\times 1.2 \times 10^{-3}}}[/tex]

ω  = 144.33 rad⁻¹

Maximum current

I = 45 x 10⁻³ x 144.33  A

I= 6.49 A

I = 6.5 A

E) 6.5 A

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