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Determine an expression for the charge on the capacitor as a function of time, q(t), in terms of parameters given in the original problem statement.

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Onyebuchinnajiidn

The expression for the charge on the capacitor as a function of time  is [tex]q(t) = q_0e^{-\frac{t}{RC} }[/tex].

Charge on capacitor as a function of time

Q = It

lnQ = -t/RC

ln(q - q₀) = -t/RC

[tex]q-q_o = e^{-\frac{t}{RC} }\\\\q = q_0e^{-\frac{t}{RC} }\\\\q(t) = q_0e^{-\frac{t}{RC} }[/tex]

where;

  • q is the charge
  • R is resistance
  • C is capacitance
  • t is time

Thus, the expression for the charge on the capacitor as a function of time  is [tex]q(t) = q_0e^{-\frac{t}{RC} }[/tex].

Learn more about charge on capacitor here: https://brainly.com/question/13578522

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