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Q. 67

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 927

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Short Answer

A motor attached to a power line draws an current. Its average energy dissipation is .

a. What is the power factor?

b. What is the rms resistor voltage?

c. What is the motor’s resistance?

d. How much series capacitance needs to be added to increase the power factor to ?

(a). The power factor is

(b). The rms resistor voltage is

(c). The motor's resistance is

(d). capacitance should be add to increase the power factor to 1

See the step by step solution

Step by Step Solution

Part (a) Step 1: Given information

We are given that A motor attached to a power line draws an current. Its Average energy dissipation is .

We need to find the power factor .

Part (a) Step 2: Explanation

We are given that

so power factor is

Part (b) Step 1: Given information 

We need to find the rms resistor voltage.

Part (b) Step 2: Explanation

We are given that

Part (c) Step 1: Given information 

We need to find the motor resistance .

Part (c) Step 2: Explanation

We are given that

so the resistance is

Hence the motor resistance is .

Part (d) Step 1: Given information 

We need to find that How much series capacitance needs to be added to increase the power factor to ?

Part (d) Step 2: Explanation

We are given that power factor should be one . so

so there is to add a resistance of

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