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A person with body resistance between his hands of 10kΩaccidentally grasps the terminals of a 14-kVpower supply. (a) If the internal resistance of the power supply is 2000Ω, what is the current through the person’s body? (b) What is the power dissipated in his body? (c) If the power supply is to be made safe by increasing its internal resistance, what should the internal resistance be for the maximum current in the above situation to be 1.00mAor less?

Short Answer

Expert verified
  1. The current through the body is 1.17 A
  2. The power dissipated in the person’s body is 13.7 kW
  3. The internal resistance should be 14MΩ

Step by step solution

01

Determine the current which passes through the person

Use the formula of current

I=εR+r

Substitute the given values

I=14000V10000Ω+2000ΩI=1.17A

Therefore, If the internal resistance of the power supply is 2000Ω, the current through the person’s body is 1.17 A

02

Determine the power dissipated through the person’s body

Use the formula of power in relation with current and resistance

P=I2R

Substitute the values

P=1.17A210000ΩP=13.7kW

Therefore, the power dissipated through the person’s body is13.7kW

03

Determine the internal resistance

Use the formula of current used above and transform it accordingly

r=ε-IRI

Substitute the values

r=14000V-0.001A10000Ω0.001Ar=14MΩ

Therefore, the internal resistance should be 14MΩfor the maximum current in the above situation to be 1.00 mA or less

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