Given V(t) = 3(5t + 2)V for 0 ≤ t ≤ 5s, find the current (I(t)) and charge (Q(t)) in capacitor with C = 900nF. Assume the capacitor is initially discharged (Vc(t<0) = 0V)
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Given V(t) = 3(5t + 2)V for 0 ≤ t ≤ 5s, find the current (I(t)) and charge (Q(t)) in capacitor with C = 900nF. Assume the capacitor is initially discharged (Vc(t<0) = 0V)
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- You are an electrician working in an industrial plant. You discover that the problem with a certain machine is a defective capacitor. The capacitor is connected to a 240-volt AC circuit. The information on the capacitor reveals that it has a capacitance value of 10 mF and a voltage rating of 240 VAC. The only 10-mF AC capacitor in the storeroom is marked with a voltage rating of 350 WVDC. Can this capacitor be used to replace the defective capacitor? Explain your answer.Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 - Hz power line. An ammeter indicates a circuit current of 8.6 amperes. How much current is flowing through the 40F capacitor?An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in parallel. The circuit is connected to a 240-V, 400-Hz power supply. Find the following values. XL=XC=IR=AIL=AIC=AP=WVARsL=VARsC=IT=AVA=PF=%=
- TRUE or FALSE a. A discontinuous change in the voltage requires an infinite current thus a capacitor resists an abrupt change in the voltage across it. b. The inductor takes power from the circuit when storing energy and delivers power to the circuit when returning previously stored energy.y. The voltage across the capacitor shown is known to be 2500t up V for tzo - Yc = 500t e 5UF a. Find the current through the capacitor for t >o. b. Find the energy stored in the capacitor at t = 100USThe figure below shows a simple RC circuit with a 3.10-μF capacitor, a 3.60-MQ resistor, a 9.00-V emf, and a switch. What are the following exactly 8.50 s after the switch is closed? (a) the charge on the capacitor μC (b) the current in the resistor μA R (c) the rate at which the capacitor is storing energy μW (d) the rate at which the battery is delivering energy μW
- The figure on the side is showing how the voltage on the capacitor in an RC-circuit changes with time The time needed for the capacitor to lose half its maximum charge Select one: a. 40 sec b. 80 sec c. 20 sec d. 30 secThe figure below shows a simple RC circuit with a 3.50-µF capacitor, a 3.60-MQ resistor, a 9.00-V emf, and a switch. What are the following exactly 6.50 s after the switch is closed? S C R (a) the charge on the capacitor (b) the current in the resistor µA (c) the rate at which the capacitor is storing energy (d) the rate at which the battery is delivering energy1. A 2uF capacitor has the following current waveform. The initial voltage on the capacitor is zero. a. Find the charge on the capacitor at t=6ms b. Find the voltage on the capacitor at t = 10ms (A) 5- -r(m) 10 12
- A series circuit has a capacitor of 0.25 x 10-0 F, a resistor of 5x 10' 2, and an inductor of 1 H. The initial charge on the capacitor is zero. If a 12-volt battery is connected to the ircuit and the circuit is closed at t = 0, determine the charge on the capacitor at t = 0.001 seconds, at t = 0.01 seconds, and at any time t. Also determine the limiting charge as - 0. Enter the exact answer with a < b. The charge at any time is given by the formula Q (1) = (Ae" + Beb + C) x 10-6 coulombs, where %3D x10-6 coulombs as t→ 0 tound your answers to two decimal places. 20 001) = x10-6 CoulomhsB. A parallel-plate capacitor is constructed from two metal dics of radius 1 cm with a gap 0.05 cm thick filled with mica. a) What is the capacitance? b) What is the charge of this capacitor after being connected to a 100- V battery?2. A capacitor having a capacitance of 2.0 µF consists of two metal elec- trodes separated by an insulating spacer made of crystalline silicon. Silicon is a semiconductor, having a conductivity of 1.6x10-3 S/m and dielectric constant of 11.7. The capacitor is placed in a series with a 12 volt battery in a closed loop circuit. When steady state is reached, what is the charge on the capacitor, and what is the current in the circuit?