A 58 resistor is connected across the emf v(t) = (178 V) sin(126t). Write an expression...

Question

Question

A 58 resistor is connected across the emf v(t) = (178 V) sin(126t). Write an expression for the current through the resistor.

science physics

Answer 1

Answer #1

Here,

for the voltage

V(t) = 178 * sin(126pi * t)

for the current in the resistor

I(t) = V(t)/R

I(t) = 178/58 * sin(126π * t)

I(t) = 3.07 * sin(126π * t)

the current through the resistor is 3.07 * sin(126π * t)

Answer 2

Similar Homework Help Questions

A 52 Q resistor is connected across the emf v(t) (166 V)sin(134nt). Write an expression for...

A 52 Q resistor is connected across the emf v(t) (166 V)sin(134nt). Write an expression for the current through the resistor. (Use the following as necessary: t. Assume the current i(t) is in amps and time t is in seconds. Do not include units in your answer.) i(t) t
A 51 22 resistor is connected across the emf v(t) = (176 V) sin(140nt). Write an expression for the current through the...

A 51 22 resistor is connected across the emf v(t) = (176 V) sin(140nt). Write an expression for the current through the resistor. (Use the following as necessary: t. Assume the current i(t) is in amps and time t is in seconds. Do not include units in your answer.) i(t) =
A 190 mH inductor is connected to an emf given by v(t) = (167 V) sin(144nt)....

A 190 mH inductor is connected to an emf given by v(t) = (167 V) sin(144nt). (a) What is the reactance of the inductor in 2)? 85.95 (b) Write an expression for the current through the inductor. (Use the following as necessary: t. Assume i(t) is in amps and t is in seconds. Do not include units in your answer.) i(t) = -1.944 cos (144nt

A 200 mH inductor is connected to an emf given by v(t) = (168 V) sin(134nt)....

A 200 mH inductor is connected to an emf given by v(t) = (168 V) sin(134nt). (a) What is the reactance of the inductor (in 2)? 84.2 2 (b) Write an expression for the current through the inductor. (Use the following as necessary: t. Assume i(t) is in amps and t is in seconds. Do not include units in your answer.) i(8) = 2 cos(1847)
For the circuit shown below, what are the following? (160 V) sin(120) 6.00 + 560 PF...

For the circuit shown below, what are the following? (160 V) sin(120) 6.00 + 560 PF w 0000 30 mH (a) the total impedance (in ) (b) the phase angle between the current and the emf (in rad) rad (c) Write an expression for it). (Use the following as necessary: t. Assume i(t) is in amps and t is in seconds. Do not include units in your answer.) i(t) =
4. -/1 points OSUniPhys1 32.3.P.029. For the circuit shown below, what are the following? (200 V)sin(1207)...

4. -/1 points OSUniPhys1 32.3.P.029. For the circuit shown below, what are the following? (200 V)sin(1207) 8.00 + 430 pF 0000 40 mH (a) the total impedance (in ) (b) the phase angle between the current and the emf in rad) rad (c) Write an expression for it). (Use the following as necessary: t. Assume (t) is in amps and t is in seconds. Do not include units in your answer.) (0) -

A 250 Ω resistor is connected in series with a 4.80 µF capacitor. The voltage across...

A 250 Ω resistor is connected in series with a 4.80 µF capacitor. The voltage across the capacitor is vC = (7.50 V)sin[(110 rad/s)t]. Derive an expression for the voltage vR across the resistor. (Assume the frequency is in rad/s. Use the following as necessary: t.) vR(t) = ? V Thanks
A 353-Ω resistor, an uncharged 4.94-μF capacitor, and a 16.9-V emf are connected in series. What...

A 353-Ω resistor, an uncharged 4.94-μF capacitor, and a 16.9-V emf are connected in series. What is the current, in mA, after three time constants is flowing through the resistor? Do not enter units with answer.
Write an expression for the output voltage of an AC source that has an amplitude of...

Write an expression for the output voltage of an AC source that has an amplitude of 27 V and a frequency of 270 Hz. (Use the following as necessary: t. Assume V is in volts and t is in seconds. Do not include units in your answer. Assume V = 0 and a > 0 when t = 0.) dt V = 27 sin ( 270nt)

A capacitor is connected in series to a resistor with a resistance of 1.2ko and a...

A capacitor is connected in series to a resistor with a resistance of 1.2ko and a battery with an emf of 12 V. a) What multiple of the time constant gives the time taken by the initially uncharged capacitor to reach 58% of its maximum charge? b) At that charge, what is the current through the resistor? At that charge, what is the potential across the capacitor? d) At that charge, what is the potential across the resistor?