In a pacemaker used by a heart patient, a capacitor with a capacitance of $25 \mu \mathrm{F}\( is charged to \)1.0 \mathrm{V}$ and then discharged through the heart every 0.80 s. What is the average discharge current?

Short Answer

Expert verified
Answer: The average discharge current is \(31.25\mu \mathrm{A}\).

Step by step solution

01

Calculate the charge stored in the capacitor

Using the formula for the charge stored in a capacitor, Q = CV, we can find the charge Q stored in the capacitor. In this case, the capacitance C is given as \(25\mu \mathrm{F}\) and the voltage V is given as \(1.0\mathrm{V}\). $$ Q = CV = (25\mu \mathrm{F})(1.0 \mathrm{V}) = 25\mu \mathrm{C} $$
02

Calculate the average discharge current

To calculate the average discharge current, we can divide the charge Q by the discharge time interval t, which is given as \(0.80\mathrm{s}\). $$ I_\text{avg} = \frac{Q}{t} = \frac{25\mu \mathrm{C}}{0.80\mathrm{s}} = 31.25\mu \mathrm{A} $$ The average discharge current is \(31.25\mu \mathrm{A}\).

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