Solve problems involving electric current, electric charge and time using 𝐼 = 𝑞 𝑡.

A student investigates the charging behaviour of a supercapacitor used in a hybrid vehicle's regenerative braking system. The capacitor must store charge rapidly during a 3.5 s braking event. The manufacturer specifies that the capacitor accepts a maximum average current of 28 A during charging, but the student observes that the actual current delivered by the vehicle's alternator varies between 22 A and 34 A over the braking interval. Using the relationship \( I = \frac{q}{t} \), justify whether the capacitor is operating within its design limits if the total charge transferred during one braking event is 95 C.

A battery charger delivers a current of 2.5 A to a rechargeable battery for 1 hour and 20 minutes. Identify the total charge transferred to the battery during this time.

A research team tests three different battery types (lithium-ion, nickel-metal hydride, and alkaline) by discharging each at constant current until depleted. Refer to the table below. Compare the electric current supplied by the three battery types and identify which battery delivers the greatest total charge.