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vagabundo [1.1K]
3 years ago
13

A 4.8 mF capacitor in series with a 500 Ω resistor is connected, by a switch, to a 12 V battery. The current through the resisto

r at t = 1.0 s, after the switch is closed is: a. 64 mA
b.25 mA
c.49 mA
d.64 mA
Physics
2 answers:
bonufazy [111]3 years ago
4 0

Answer:

The current is 15.8 mA.

Explanation:

Given that,

Capacitor = 4.8 mF

Resistor = 500 Ω

Time t = 1.0 s

Voltage = 12 V

We need to calculate the current

Using formula of current

I(t)=\dfrac{V_{0}}{R}e^{\dfrac{-t}{RC}}

Where, V = voltage

R = resistance

t = times

Put the value into the formula

I(t)=\dfrac{12}{500}e^{\dfrac{-1.0}{500\times4.8\times10^{-3}}}

I(t)=0.0158\ A

I(t)=15.8\ mA

Hence, The current is 15.8 mA.

ad-work [718]3 years ago
3 0

Answer:

Current will be 81.7 mA

Which is not given in bellow option

Explanation:

We have given  capacitance C=4.8mF=4.8\times 10^{-3}F

Resistance R = 500 ohm

Voltage V = 12 volt

We know that time constant of RC circuit of RC circuit is given by

\tau =RC=500\times 4.8\times 10^{-3}=2.4sec

Time is given as t = 1 sec

We know that current in RC circuit is given by

i=\frac{v}{R}(1-e^{\frac{-t}{\tau }})

So current i=\frac{12}{500}(1-e^{\frac{-1}{2.4 }})=0.00817A=81.7mA

Which is not given in the following option

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