A 6 uF capacitor is initially charged to 100V and then connected across a 600 ohm resistor. a) what is the initial charge on the capacitor?
Vo = 100/e^(t/RC).
t = 0
t/(RC) = 0/(RC) = 0
Vo = 100/e^0 = 100/1 = 100 Volts.= Initial voltage across capacitor
and resistor.
To find the initial charge on the capacitor, we can use the formula:
Q = C * V
where Q is the charge, C is the capacitance, and V is the voltage.
Given:
C = 6 μF (microfarads)
V = 100 V
Let's calculate the initial charge on the capacitor:
Q = 6 μF * 100 V
Q = 600 μC (microcoulombs)
Therefore, the initial charge on the capacitor is 600 microcoulombs (μC).
To find the initial charge on the capacitor, we can use the formula:
Q = C * V
Where Q is the charge on the capacitor, C is the capacitance, and V is the voltage.
In this case, the capacitance (C) is given as 6 uF (microfarads) and the voltage (V) is given as 100V.
First, we need to convert the capacitance from microfarads to farads, as the formula requires capacitance to be in farads.
1 microfarad (uF) = 1 x 10^(-6) farads
Therefore, 6 microfarads (6 uF) = 6 x 10^(-6) farads
Now we can substitute the values into the formula:
Q = (6 x 10^(-6) farads) * (100V)
Q = 6 x 10^(-4) coulombs
So, the initial charge on the capacitor is 6 x 10^(-4) coulombs.