At pi/3 radians, what is the amplitude of a...

Question 1 / 27070MAK0rJFrb0nwEEE8mSB7

Question 1 of 27070MAK0rJFrb0nwEEE8mSB7

At pi/3 radians, what is the amplitude of a sine-wave having a peak value of 5 volts?

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Question 1 of 27070

Q

At pi/3 radians, what is the amplitude of a sine-wave having a peak value of 5 volts?

🔍 Key Concepts

• Relationship between peak value and the general sine-wave equation: v = Vmax · sin(θ) • How to evaluate sin(π/3 radians) and what its numerical value is • Sign (positive/negative) of sine in the first quadrant (0 to π/2 radians)

💭 Think About

• Write the sine-wave equation using the given peak value and substitute θ = π/3. What expression do you get? • What is the exact value of sin(π/3)? Is it greater or less than 1? • Given the quadrant of π/3, should the sine value (and therefore the voltage) be positive or negative?

✅ Before You Answer

• Confirm that amplitude at an angle is found by multiplying the peak value by sin(θ), not just using the peak directly • Verify the exact or approximate decimal value of sin(π/3) before multiplying • Check that your final sign (positive or negative) matches the quadrant where π/3 lies

Question 1 of 27070

Q

At pi/3 radians, what is the amplitude of a sine-wave having a peak value of 5 volts?

A

-4.3 volts.

B

-2.5 volts.

C

+2.5 volts.

D

+4.3 volts.

Question 1 / 27070MAK0rJFrb0nwEEE8mSB7

Question 1 of 27070MAK0rJFrb0nwEEE8mSB7

At pi/3 radians, what is the amplitude of a sine-wave having a peak value of 5 volts?

Back

Question 1 of 27070

Q

At pi/3 radians, what is the amplitude of a sine-wave having a peak value of 5 volts?

🔍 Key Concepts

• Relationship between peak value and the general sine-wave equation: v = Vmax · sin(θ) • How to evaluate sin(π/3 radians) and what its numerical value is • Sign (positive/negative) of sine in the first quadrant (0 to π/2 radians)

💭 Think About

• Write the sine-wave equation using the given peak value and substitute θ = π/3. What expression do you get? • What is the exact value of sin(π/3)? Is it greater or less than 1? • Given the quadrant of π/3, should the sine value (and therefore the voltage) be positive or negative?

✅ Before You Answer

• Confirm that amplitude at an angle is found by multiplying the peak value by sin(θ), not just using the peak directly • Verify the exact or approximate decimal value of sin(π/3) before multiplying • Check that your final sign (positive or negative) matches the quadrant where π/3 lies