Question

(a) If an inductor carrying a 1.55 A current stores an energy of 0.250 m), what is its inductance? MH (b) How much energy does the same inductor store if it carries a 3.1 A current? m) Additional Materials eBook [-/2 Points) DETAILS SERCP10 21.P.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE What is the maximum current delivered to a circuit containing a 4.00 uF capacitor when it is connected across the following outlets? (a) a North American outlet having Arms = 120 V, f = 60.0 Hz MA (b) a European outlet having Arms = 240 V and f = 50.0 Hz ma Additional Materials eBook [-/2 points) DETAILS SERCP10 21.P.018. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE A sinusoidal voltage Av = (75.0 V)sin(1200) is applied to a series RLC circuit with L = 90.0 mH, C = 115.0 uF, and R = 48.00 (a) What is the impedance of the circuit? Ω (b) What is the maximum current in the circuit?

Answer 1

1(a)

Given

Current I = 1.55 A

Energy stored = 0.250 J

Inductance L = ?

We know for an inductance energy stored is given by

Energy stored = 1/2 I²L ................ (i)

0.250 = 1/2 (1.55)² L

L = (0.250 x 2)/(1.55)²​​​​​​

= 0.500/2.402

= 0.208

Hence inductance (L) is =0.208 H or 208 mH

1(b)

Inductance L = 0.208 H { fom part a }

Current I = 3.1 A

Energy stored =?

Using equation (i)

Energy stored = 1/2 l²L

= 1/2 x (3.1)²​​​​​​ x 0.208

= 0.999 J

Hence energy stored is = 0.999 J or 999 mJ

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