A series circuit has a capacitor of 0.25 × 10−6 F, a resistor of 5 × 103 Ω, and an inductor of 1 H. The initial charge on the ca
pacitor is zero. If a 24-volt battery is connected to the circuit and the circuit is closed at t = 0, determine the charge on the capacitor at any time t.
Q(t)=?
Determine the charge on the capacitor at t = 0.001 s, and at t = 0.01 s. (If you enter your answer in scientific notation, round the decimal value to two decimal places. Use equivalent rounding if you do not enter your answer in scientific notation.)
Q(t)=?
Determine the charge on the capacitor at t = 0.001 s, and at t = 0.01 s. (If you enter your answer in scientific notation, round the decimal value to two decimal places. Use equivalent rounding if you do not enter your answer in scientific notation.)
1 answer:
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Answer:
Proved See below
Step-by-step explanation:
Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started
For this question we need to know the following identities:
Lets solve the bottom most part first:
Take LCM
now break the LCM
because 1/tan = cot x
and furthermore,
now we solve the above part and replace the bottom most part that we solved with
Hence proved! :D