Question

In: Physics

1. A voltage is given by v(t) = 10 sin(1000?t + 30o). a. Use a cosine...

1. A voltage is given by v(t) = 10 sin(1000?t + 30o).

a. Use a cosine function to express v(t).

b. Find the angular frequency, the frequency in hertz, the phase angle, the periodic time and the rms value.

c. Find the power that this voltage delivers to a 25? resistance

Solutions

Expert Solution


Related Solutions

The output voltage of an AC generator is given by ?v = 121 V sin (32?t)....
The output voltage of an AC generator is given by ?v = 121 V sin (32?t). The generator is connected across a 0.007 H inductor. Find the following. (a) frequency of the generator?=____ Hz (b) rms voltage across the inductor?=____ V (c) inductive reactance?=____ ohms (d) rms current in the inductor?=____ A (e) maximum current in the inductor?=____ A (f) average power delivered to the inductor?=____ W (g) Find an expression for the instantaneous current. (Use the following as necessary:...
The output voltage of an AC generator is given by V = (1.20×10^2) sin (30 pie...
The output voltage of an AC generator is given by V = (1.20×10^2) sin (30 pie t) (V). The generator is connected across a 0.500 H inductor. Find the (a) frequency of the generator, (b) rms voltage across to the inductor (c) inductive reactance, (d) rms current in the inductor, (e) maximum current Indian doctor, and (f) average power delivered to the inductor. (g) find an expression for instantaneous current. (h) At what time after t = 0, does the...
A. According to Equation 20.7, an ac voltage V is given as a function of time t by V = Vo sin 2ft, where Vo is the peak voltage and f is the frequency (in hertz).
  A. According to Equation 20.7, an ac voltage V is given as a function of time t by V = Vo sin 2ft, where Vo is the peak voltage and f is the frequency (in hertz). For a frequency of 56.0 Hz, what is the smallest value of the time at which the voltage equals one-half of the peak-value? B. The rms current in a copy machine is 7.36 A, and the resistance of the machine is 19.8Ω. What...
If u(t) = < sin(8t), cos(4t), t > and v(t) = < t, cos(4t), sin(8t) >,...
If u(t) = < sin(8t), cos(4t), t > and v(t) = < t, cos(4t), sin(8t) >, use the formula below to find the given derivative. d/(dt)[u(t)* v(t)] = u'(t)* v(t) + u(t)*  v'(t) d/(dt)[u(t) x v(t)] = <.______ , _________ , _______>
If u(t) = < sin(5t), cos(5t), t > and v(t) = < t, cos(5t), sin(5t) >,...
If u(t) = < sin(5t), cos(5t), t > and v(t) = < t, cos(5t), sin(5t) >, use the formula below to find the given derivative. d/dt[ u(t) * v(t)] = u'(t) * v(t) + u(t)* v'(t) d/dt [ u(t) x v(t)] = ?
Consider a fruit fly flying a room with velocity v(t) = < -sin(t), cos(t), 1 >...
Consider a fruit fly flying a room with velocity v(t) = < -sin(t), cos(t), 1 > a. if the z = 1 + 2(pi) is the room's ceiling, where will the fly hit the ceiling? b. if the temperature in the room is T(z) = 65 + (1/2)z2 how quickly is the temperature increasing for the fly at time t = 2. c. from the velocity, find the location of the fruit fly at time t if at t =...
(Transient Current) An RLC series circuit has a voltage source given by E(t) = 20sin(t) V,...
(Transient Current) An RLC series circuit has a voltage source given by E(t) = 20sin(t) V, an inductor of 3 H, a resistor 6 Ω, and a capacitor of 1/3 F. Find the current I(t) in this circuit for t > 0 if I(0) = 2, I'(0) = 0. Find the moment of time when the transient current is equal to zero
Let Zt = U sin(2*pi*t) + V cos(2*pi*t), where U and V are independent random variables,...
Let Zt = U sin(2*pi*t) + V cos(2*pi*t), where U and V are independent random variables, each with mean 0 and variance 1. (a) Is Zt strictly stationary? (b) Is Zt weakly stationary?
Problem 4. (10 pts) Voltage amplifiers are available with Avoc = 8 V / V, Rin...
Problem 4. (10 pts) Voltage amplifiers are available with Avoc = 8 V / V, Rin = 1.8 kΩ, Ro = 850Ω. With a 12V DC power source, each amplifier consumes 1.5 mA average current. a.how many amplifiers does it need to connect a cascade to obtain at least gain a voltage of 1000 with a load resistance of 1.0kΩ? b. What is the voltage gain Av obtained? (Answer with a whole number rounded) c. For the cascade connection, find...
A voltage of 10 sin(3t) volts is impressed on a series circuit containing a 20Ω resistor,...
A voltage of 10 sin(3t) volts is impressed on a series circuit containing a 20Ω resistor, 10^-3 H inductor and a 1μF capacitor. Obtain expressions for the charge q on the capacitor and current I in the circuit if q=0=I at t=0.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT