A parallel-plate capacitor is used as a vibration sensor. The plates have an area of
A constant voltage of 200 V is applied to the sensor Determine the current through the sensor as a function of time by using the approximation
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- In response to a change introduced by a switch at t = 0, the current flowing through a 100 μF capacitor, defined in accordance with the passive sign convention, was observed to be i(t) = −0.4e−0.5t mA (for t > 0). If the final energy stored in the capacitor (at t = ∞) is 0.2 mJ, determine υ(t) for t ≥ 0.arrow_forward1. A parallel plate capacitor filled with mica having εr = 5 is connected to a 10 V battery. The area of the parallel plate is 6 m2 and separation distance is 6 mm. Find the capacitance and stored charge. 2. Calculate the capacitance of the capacitor having dimensions, 30 cm X 40 cm and separated with a distance d=8mm air gap. 3. An air- filled parallel- plate capacitor having an area 60 cm^2 and plate separation 0.1 mm is charged to a potential difference of 120V. Find the capacitance.arrow_forwardA 100-pF capacitor is constructed of parallel plates of metal, each having a width W anda length L. The plates are separated by air with a distance d. Assume that L and W are bothmuch larger than d. What is the new capacitance ifa. both L and W are doubled and the other parameters are unchanged?b. the separation d is doubled and the other parameters are unchanged from their initialvalues? c. the air dielectric is replaced with oil having a relative dielectric constant of 25 and theother parameters are unchanged from their initial values ?arrow_forward
- 1. Find the outer radius of a coaxial cable having a characteristic impedance of 12 and a dielectric constant of 0.06. The outer inner radius of this cable is 4 cm. 2. How much is the inductance of a coil of an instrument that induces 1000 V when its current changes at the rate of 50 mA in 2 µsarrow_forwardThe current flowing through a 10-μF capacitor having terminals labeled a and b is i ab =0.3 exp( −2000t ) Afor t≥0 Given that v ab ( 0 )=0, find an expression for v ab (t) for t≥0. Then,find the energy stored in the capacitor for t=∞..arrow_forwardA capacitor is made with a dielectric layer of mylar film that is 12μm thick. The effective area of the film and conducting plates is 0.1m². K-value for mylar film is 3.1. What is the capacitance rating of the device?arrow_forward
- A parallel plate capacitor has plates 20 mm apart, a plate area of 120 sq.cm. and a dielectric with relative permittivity of 2. Determine the capacitance if the capacitor has a charge of 0.06 μC. Express in nano-farad, five decimal places.arrow_forwardA large capacitance of 1.58 mF is needed for a certain application. (a) Calculate the area the parallel plates of such a capacitor must have if they are separated by 4.19 µm of Teflon, which has a dielectric constant of 2.1. (b) What is the maximum voltage that can be applied if the dielectric strength for Teflon is 60 ✕ 106 V/m (c) Find the maximum charge that can be stored. (d) Calculate the volume of Teflon alone in the capacitor. (units: m^3)arrow_forward1.3 A coaxial cylindrical capacitor is to be designed with an effective length of 10 cm. The capacitor is expected to have a capacitance of 100 pF and to operate at 11 kV, 1000 kHz. Determine the required thickness if the required insulating material is Polytetrafluoroethylene (P.T.F.E.), &r= 2.0, Eb = 250 kV/cm. Allow a factor of safety of 4 and take to = 8.85x10-1² F/m.arrow_forward
- An electrical circuit has a very small resistance so it can be despised. The capacitor on the left was charged up to the voltage of Vo=10 volts and then, at time t=0, the switch S was closed. The capacity of the capacitors are C=60 µF, and the coil inductance is L=0.04 HI) Find the voltage on the left capacitor, at the instant V1=0.001 s.II) Find the voltage in the right capacitor, at the instant t=002 s.arrow_forward2. 7.22 The switch in the circuit has been in the left positionfor a long time. At t=0 it moves to the right position and stays there. 1. a) Write the expression for the capacitor voltage, v(t), for t≥0arrow_forwardFor the circuit shown Vs = 12 V, R1 = 11 kΩ, R2 = 23 kΩ, R3 = 32 kΩ, C = 3.8 μF, L = 84 mH. If the switch opens after a long time, determine the time after t = 0 that it takes the capacitor to discharge.arrow_forward
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