Chapter 32: Q. 36 (page 925)

For what absolute value of the phase angle does a source deliver $75 %$ of the maximum possible power to an RLC circuit?

Short Answer

Expert verified

The phase angle of RLC circuit is $30 °$ .

Step by step solution

Given Information

We are given that the source deliver is $75 %$ .

and We have to find out the phase angle of RLC circuit.

Formula Used

Now use the formula,

$P = (I_{r m s}) (V_{r m s}) \cos^{2} ϕ$

where $P = 75 %$

and $P = \frac{75}{100} P_{r m s}$ let this be equation 1.

Simplify

Put the value of $P_{r m s}$ in equation 1

We get role="math" localid="1649874818548" $P = 0.75 (I_{r m s}) (V_{r m s})$ let this be equation 2

on comparing equation 1 and 2,

We get,

$0.75 = \cos^{2} ϕ$

On solving this we get,

$ϕ = 30 °$

The phase angle of RLC circuit is $30 °$ .

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For what absolute value of the phase angle does a source deliver $75 %$ of the maximum possible power to an RLC circuit?

Short Answer

Step by step solution

Given Information

Formula Used

Simplify

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For what absolute value of the phase angle does a source deliver 75%of the maximum possible power to an RLC circuit?

Short Answer

Step by step solution

Given Information

Formula Used

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Work Energy and Power

Physics of Motion

Radiation

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Electric Charge Field and Potential

Force

Study anywhere. Anytime. Across all devices.

For what absolute value of the phase angle does a source deliver $75 %$ of the maximum possible power to an RLC circuit?