A resistor (R = 500 Ohm), capacitor (C = 6.34 mu F) and inductor (L = 4 mH) are

Question

A resistor (R = 500 Ohm), capacitor (C = 6.34 mu F) and inductor (L = 4 mH) are connected in series to an AC power supply as shown At what frequency docs the circuit have maximum current? What is the Impedance of the circuit when the current is maximum? The figure shows three long, parallel current-carrying wires. The magnitudes of the currents are equal and their directions are indicated in the figure. Which of the arrows drown near the wire carrying current 1 correctly indicates the direction of the magnetic force acting on that wire? An AC power supply drives the circuit below: When does the bulb glow the brightest?

Explanation / Answer

12) i=ic=iR

w=2*pie*f

xL=2*Pie*f*L

XC=1 / (2*PIE*f*C)

AT XL-XC=0

MAX Frequency occurs

given:

R=500 OHMS

C=6.34*10-6 F

   L=4 *10-3 H

2*3.14*f* 4 * 10^-3=1 / (2*3.14*f*6.34*10^-6)

f2=0.000999*106

f=0.0316 Hz

the option (b)

13)at max current

   XL-XC=0

IMPEDENCE Z=SQRT R2 + (XL-XC)2

Z=SQRT (500)2

Z=500 OHM

14) OPTION B

15)OPTION D

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