Deck 9: Trigonometry

Question 1

What is the maximum peak value of a 60-hertz wave that has an instantaneous voltage of 22 volts 1.67 milliseconds before the end of one cycle? Round the answer to the nearer tenth.

Answer 1

37.4

Question 2

Hint: In the series circuit, if the impedance is 70 ohms and the reactance is 50 ohms, what is the value of the resistance? Round the answer to the nearer ohm.

Answer 2

49

Question 3

A TI 36X calculator is set in octal mode. The calculator display shows 116. If the calculator is set to hexadecimal mode, what would the display show?

Answer 3

4E

Question 4

A TI 36X calculator is set in binary mode (BIN). The calculator display show 110100101. If the calculator is set to decimal (DEC) mode, what would the display show?

Question 5

Hint: In the circuit shown is 135 volts and is 175 volts. Find . Carry the answer to two decimal places.

Question 6

What is the output frequency to the nearer tenth hertz of a generator that produces two voltage waveforms in 5.55 milliseconds? Carry the answer to one decimal place.

Question 7

What is the value of the resistance (R) in the series circuit shown? Carry the answer to two decimal places.

Question 8

The line voltage ( ) is 120 volts, and the voltage of the reactance ( ) is 60 volts. What is the voltage across the resistance ( )? Carry the answer to two decimal places.

Question 9

Hint: = 400 ohms Z = 1,100 ohms Find R in ohms. Carry the answer to one decimal place.

Question 10

Find the phase angle at which an instantaneous voltage of 144 appears in a wave with a peak value of 500 volts. Round the answer to the nearer degree.

Question 11

What is the phase angle between two 60-hertz voltages generations separated by a time interval of three milliseconds? Carry the answer to one decimal place.

Question 12

Hint: Determine the voltage of if is 105 and is 120 volts. Carry the answer to two decimal places.

Question 13

What is the time in milliseconds required to generate one cycle of voltage at 60 hertz?

Question 14

Two voltages ( and ) are applied to a resister. is 40 volts at reference. is 60 volts and leads by . Find to the nearer tenth.

Question 15

A transformer secondary circuit is shown. Find . Express the answer to the nearer tenth. Hint: First apply Ohm s law E=IR to find and .

Question 16

What is the magnitude of the voltage at point A? Express the answer to the nearer tenth.

Question 17

If the voltage across the reactance ( ) is 50 volts and the line voltage ( ) is 300 volts, what is the voltage across the resistance ( )? Carry the answer to one decimal place.

Question 18

An AC voltage has an instantaneous value of 110 volts. Find to the nearer degree the phase angle if the peak voltage is 155.5 volts.

Question 19

Hexadecimal numbers that correspond to letters can be entered on the TI 36X calculator using the 3rd function key in conjunction with other keys that correspond to the letters A, B, C, D, E, and F.

Question 20

If the resistance is changed to 40 ohms and ( ) is the inductive reactance, what is the impedance (Z)?