1) An implanted pacemaker supplies the heart with 72 pulses per minute, each pul
ID: 2275798 • Letter: 1
Question
1) An implanted pacemaker supplies the heart with 72 pulses per minute, each pulse providing 3.0 V for 0.95 ms. The resistance of the heart muscle between the pacemaker's electrodes is 600 ohms.
a) Find the current that flows during a pulse.
b) Find the energy delivered in 1 pulse
c) The average power supplied by the pacemaker
2) Use the following circuit:
a) use Kirchoff's laws to write 3 independent equations relating the currents (as drawn), resistances, and the emf values in the circuit.
b) If E1 = 3V, E2 = 8 V and R1 = 2 ohms, R2 = 4 ohms, R3 = 8 ohms, solve for the 3 currents.
Explanation / Answer
1) current = V/r = 3/600 = 0.005 amp
power = V*V/r = 3*3/600 = 0.015 Watt
energy = power * time = 0.015* 0.95 * 0.001 = 0.00001425 joules
2) a)
I1 + I3 = I2 -(1)
R1*I1 + R2*I2 = 11
2 * I1 + 4 * I2 = 11 -(2)
R2 * I2 + R3 * I3 = 8
I2 + 2 * I3 = 2 -(3)
b) On solving we have
2 * I1 + 4 * I2 = 11 -(2)
and 3 * I2 - 2 * I1 = 2 -(3) (on putting I3 = I2 - I1)
on adding them we have 7 * I2 = 13 or I2 = 13/7 = 1.85
I1 = 25/14 = 1.75
I3 = 1/14 = 0.071
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