1. An R C series circuit has R = 71.0? and C = 590nF . The series combination is

Question

1. An RC series circuit has R = 71.0? and C = 590nF . The series combination is connected across a 250V (rms), 69Hz power supply.

Part A

Find the phase angle.

Part B

Find the impedance of the RC combination.

Part C

Find the peak current.

2. An RL series circuit has R = 78.5? and L = 2.25mH . The series combination is connected across a 155V (rms), 63Hz power supply.

Part A

Find the phase angle.

Part B

Find the impedance of the RL combination.

Part C

Find the peak current.

3. An RLC series circuit is in resonance at 80Hz .

Part A

If you halve both the inductance and capacitance, what's the new resonance frequency?

4. The height of a typical AM radio station's tower is one-fourth of the radio wavelength.

Part A

How high should the tower be for a radio station broadcasting at 630kHz ?

5. Antennas for radio transmission and reception are particularly effective if they're about a half-wavelength long.

Part A

What's the appropriate length for an FM antenna, taking 97MHz as a typical FM frequency? (You may have used such an antenna with your FM receiver.)

6. Light travels at about 0.75c in water.

Part A

What's the wavelength in water of light whose wavelength in vacuum is 479nm ?

Explanation / Answer

Part A)

The formula to find the phase angle in an RC circuit =

tan? = -Xc/R

We need to find Xc

XC = 1/2?fC = 1/(2?)(64)(590 X 10-9)

XC = 4217 ?

? = tan-1 = (-4217/71) = 89o

Part B

The impedance Z is found by

Z = ?[(R2 + (-XC2)]

Z = ?[(71)2 + (4217)2

Z = 4217.59?

Part C

Peak Current is Imax

Imax = Vmax/Z

Vmax = (?2)(Vrms)

Imax = (?2)(250)/(4217.59)

Imax = .0838 A which is 83.38 mA

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