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just olya [345]
4 years ago
10

. A 24-V battery is attached to a 3.0-mF capacitor and a 100-ohm resistor. If the capacitor is initially uncharged, what is the

voltage across the capacitor 0.16 seconds after the circuit is connected to the battery
Physics
1 answer:
Licemer1 [7]4 years ago
3 0

Answer:

The  voltage is V_c  = 9.92 \ V

Explanation:

From the question we are told that

     The voltage of the battery is  V_b  =  24 \ V

     The capacitance of the capacitor is  C  =  3.0 mF  =  3.0 *10^{-3} \  F

     The  resistance of the resistor is R   =  100\  \Omega

     The time taken is  t =  0.16 \ s  

Generally the voltage of a charging charging capacitor after time t is mathematically represented as

       V_c  =  V_o (1 -  e^{- \frac{t}{RC} })

Here V_o is the voltage of the capacitor when it is fully charged which in the case of this question is equivalent to the voltage of the battery so  

      V_c  =  24 (1 -  e^{- \frac{0.16}{100 * 3.0 *10^{-1}} })

      V_c  = 9.92 \ V

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