At time t = 0, a battery of 10 V is connected across points A and B i

1.	At time t = 0, a battery of 10 V is connected across points A and B in the given circuit. If the capacitors have no charge initially, at what time (in seconds) does the voltage across them become 4 V?
Answer» Time constant τ = RC = (10⁶ Ω)(4 μF) = 4 s 4 V = (10 V) [1 - e^-t/τ] e^-t/4 = 0.6 = 3/5 t/4 = In 5 - In 3 = 0.5 t = 2 s

At time t = 0, a battery of 10 V is connected across points A and B in the given circuit. If the capacitors have no charge initially, at what time (in seconds) does the voltage across them become 4 V?

Answer»

Time constant τ = RC = (10⁶ Ω)(4 μF) = 4 s

4 V = (10 V) [1 - e^-t/τ] e^-t/4 = 0.6 = 3/5

t/4 = In 5 - In 3 = 0.5 t = 2 s

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At time t = 0, a battery of 10 V is connected across points A and B in the given circuit. If the capacitors have no charge initially, at what time (in seconds) does the voltage across them become 4 V?

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