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Q4. (a) The current, i amperes, flowing through a capacitor at time t seconds is given by:

i = 7.5(1-e^-t/CR) where the circuit resistance, R, is 26.8⨯10³ ohms and the capacitance, C, is 15.25⨯10^-6 farads.

Determine the time for the current to reach 6.75 amperes. (8)

(b) Solve for n in EACH of the following equations:

(i) 2ⁿ⁺¹ = 7^2n-1 (5)

(ii) 5 ln⁡(2n-1) = 4        (3)