A) A battery provides a voltage of 9.00 V and has unknown internal resistance R

Question

A) A battery provides a voltage of 9.00V and has unknown internal resistance Rint. When the battery is connected across a resistor of resistance R1 = 8.00? , the current in the circuit is I1 = 1.00A . (Figure 1)

If the external resistance is then changed to R2 = 6.00? , what is the value of the current I2 in the circuit?

In (Figure 1) , the total resistance is 17.0k? , and the battery's emf is 24.0V . The time constant is measured to be 20.0?s .

Calculate the total capacitance of the circuit.

Calculate the time it takes for the voltage across the resistor to reach 17.0V after the switch is closed.

A battery provides a voltage of 9.00V and has unknown internal resistance Rint. When the battery is connected across a resistor of resistance R1 = 8.00? , the current in the circuit is I1 = 1.00A . (Figure 1) If the external resistance is then changed to R2 = 6.00? , what is the value of the current I2 in the circuit? In (Figure 1) , the total resistance is 17.0k? , and the battery's emf is 24.0V . The time constant is measured to be 20.0?s .

Explanation / Answer

From 1st statement we get

1=9/(8+Rin)

So

Rin=1 ohms

So for R2=6 ohms we get

I2=9/(6+1)=1.286A

Now Figure 1:

R=17000 ohms

T=RC=20*10^-6

So

C=T/R=1.1765nF

V=24(1-e^(-t/T))

So

For V=17 we get

t=2.46*10^-5 seconds

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