Question
Asked Dec 25, 2019
11 views

A person is working near the secondary of a transformer, as
shown in Figure P21.25. The primary voltage is 120. V (rms)
at 60.0 Hz. The capacitance Cs, which is the stray capacitance
between the hand and the secondary winding, is 20.0 pF.
Assuming the person has a body resistance to ground of
Rb = 50.0 kΩ, determine the rms voltage across the body.
Hint: Redraw the circuit with the secondary of the transformer
as a simple AC source.

Transformer
5 000 V
R5
Figure P21.25
ll
help_outline

Image Transcriptionclose

Transformer 5 000 V R5 Figure P21.25 ll

fullscreen
check_circle

Expert Answer

Step 1
help_outline

Image Transcriptionclose

GivenInfo: The primary rms voltage of the transformer is 120 V at frequency 60.0 Hz. The stray capacitance between the hand and the secondary winding is 20.0 pF. The body resistance of the person to ground is 50.0 kN. The capacitive reactance of the circuit is, Xc 2n fC f is the frequency of the ac source C is the capacitance of the body

fullscreen
Step 2
help_outline

Image Transcriptionclose

Substitute 60 Hz for f, 20.0 pF for C to determine the capacitive reactance, Xc 27(60.0 Hz)(20.0 pF) 1 27(60.0 Hz) (20.0x10-12 F) = 1.33 × 10° SN The formula to calculate the impedance of the circuit where the components are in series is given by, Z = V R + (XL– Xc)² Ris the resistance of the resistor XL is the inductive reactance Xc is the capacitive reactance

fullscreen
Step 3
help_outline

Image Transcriptionclose

Substitute 50.0 kN for R, 0 for XL, 1.33 × 108 N for Xc to determine the impedance of the circuit, V (50.0 kN)? + (0 – 1.33 x 10° N)? = V (50.0 x 103n)² + (1.33 x 10® 2)² = 1.33 x 10° N The formula to calculate the rms current in the circuit is, AVrms 8,TTnS Irms AV;rms is the rms secondary voltage Z is the impedance

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Alternating Current

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole...

A: (a) Using the Bernoulli’s equation at the top and the hole.

question_answer

Q: Figure P10.27 shows a circular steel casting with a gap. If the casting is heated, (a) does the widt...

A: (a).  If the circular steel casting is heated, then it will expand. The gap in the middle expands as...

question_answer

Q: Will an ice cube float higher in water or in an alcoholic beverage ?

A: Click to see the answer

question_answer

Q: What happens to the efficiency of a heat engine when the temperature of a reservoir into which therm...

A: Efficiency of heat engine can be given as: 

question_answer

Q: Are beats the result of interference or of the Doppler effect, or of both?

A: The phenomenon of wavering of sound intensity when two waves of nearly same frequencies and amplitud...

question_answer

Q: A jet airplane in level flight has a mass of 8.66 x 104 kg, and the two wings have an estimated tota...

A: (a)The mass of flight,

question_answer

Q: What happens to the wavelength of sound as the frequency decreases?

A: The frequency is defined as the number of waves per second. Mathematically it can be represented as

question_answer

Q: A 24.0 - kΩ resistor connected to an AC voltage source dissipatesan average power of 0.600 W. (a) Ca...

A: Click to see the answer

question_answer

Q: What is resonance?

A: Resonance is phenomenon seen in forced vibrations.In forced vibration if the frequency of applied fo...