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Repeat all four parts of Problem 2 ii the area is increased to 10m^2. the plate

ID: 1503443 • Letter: R

Question

Repeat all four parts of Problem 2 ii the area is increased to 10m^2. the plate separation Ls reduced to 5 Times 10^-6 m. the space between the plates Ls filled with a material of dielectric constant epsilon_tau = 10.000 and the voltage across the plates Ls 1000 V. How long will it take to charge a capacitor of capacitance 5 Times 10^-5 F to 90% of its full capacity using a charging circuit of resistance of 5 Ohm and a battery of volt age 100 V. Consider a simple single-loop circuit containing a battery of voltage 10 Ohm. a resistor of resistance 10 fl, at inductor of inductance 0.0005 H. and a switch. How long will it take for the current in the circuit to read 95% of its final maximum value?

Explanation / Answer

problem 4)

time constant(T)= CR= 2.5 x 10-4

Voltage(V)= Vs*(1- e-t/T)

90*100/100 = 100*(1- e-t/T) ;

t=5.76 x 10-4 s

B) I = Io*(1-e-tR/L) ; I-current

95*Io/100 = Io *(1-e-10t/0.005)

t=2.649 x 10-3 s