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A generator produces an alternating current according to the equation 18 sin 32nt where t is...
The current in a household appliance varies according to the equation A=5 sin120 pi t Where A is the current in amperes, and t is the time in seconds. At what instantaneous rate is the current changing at t=1 second to the nearest ampere per second?
The alternating voltage of a generator is represented by the equation E = E0 sin ω t , where E is in volts, E0 = 116 V, ω = 491 rad/s, and t is in seconds. Find the frequency of the electric potential E.
An ac generator produces emf according to E(t) = Vm sin(ωdt - π/4). The current in the circuit attached to the generator is given by i(t) = Im sin(ωdt + π/4). (a) At what time after t = 0 does the generator emf first reach a maximum? (b) At what time after t = 0 does the current first reach a maximum? (c) The circuit contains a single element other than the generator. Is it a capacitor - type "0",...
An electric current in a conductor varies with time according to the expression I(t) = 108 sin (200πt), where I is in amperes and t is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = 1/300 s?
An electric current in a conductor varies with time according to the expression I(t) = 102 sin (240πt), where I is in amperes and t is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = 1/360 s?
An alternating current drives a solenoid so that the magnetic field inside obeys the equation B(t)=Bmax(sin(2ft), where Bmax=.03 T and f= 50Hz. a.)How much EMF is generated in the solenoid at time t=0? b.) If positive B(t) indicates magnetic field out of the page, what is the direction of induced EMF in the solenoid at time t=0, clockwise or counterclockwise?
An ac generator has emf epsilon = epsilon_m sin(omega_d t - pi/4), where epsilon_m = 31.5 V and omega_d = 318 rad/s. The current produced in a connected circuit is i(t) = I sin(omega_d t - 3pi/4), where I = 732 mA. At what time after t = 0 does (a) the generator emf first reach a maximum and (b) the current first reach a maximum? (c) The circuit contains a single element other than the generator. Is it a...
7) An AC generator has the following emf: ε-6," sin[or-(π /4)], where ε,-30V and ω-350 rad/s. The current produced in a connected circuit is: 1(1)-Im sin(at-(3π/4)] , where Im-б20 mA. (a) At what time after t =0 does the generator first reach a maximum? (B) At what time after t-0 does the current reach a maximum?
A 442g mass vibrates according to the equation x = 0.370 sin (5.95 t) where x is in meters and t is in seconds. A) Determine the amplitude. B) Determine the frequency. C) Determine the period. D) Determine the total energy. E) Determine the kinetic energy when x is 12.6 cm. F) Determine the potential energy when x is 12.6cm.
1.. An alternating current, when passed through a resistor immersed in water for 5 min, just raised the temperature of the water to boiling point. When a direct current of 4 A was passed through the same resistor under identical conditions, it took 8 min to boil the water. Find the r.m.s. value of the alternating current. Neglect factors other than heat given to the water. If a rectifier type of ammeter connected in series with the resistor read 5.2...