(3%) Problem 27: If you try and measure the voltage of a battery with a voltmete

Question

(3%) Problem 27: If you try and measure the voltage of a battery with a voltmeter connected in series, you won't get a completely accurate measurement because of the internal resistance of the battery. To see how large this effect is, consider trying to measure the terminal voltage of a 1.585 V alkaline cell having an internal resistance of 5552 by placing a 0.95 k voltmeter across its terminals Randomized Variables R = 0.95 k r=55 33% Part (a) What current flows in A? tanO ( cosO cotan0 asin) acos0 sinO sinhO atan0acotan) si coshO cotanh0 0 tanhO Degrees O Radians Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 3 Feedback: 0% deduction per feedback 33% Part (b) Find the terminal voltage in V - 33% Part (c) To see how close the measured terminal voltage is to the emf, calculate their ratio

Explanation / Answer

(A) I = e / (r + R)

I = 1.585 / (55 + 950 )

I = 1.577 x 10^-3 A  

(B) V = e - Ir = e - (er / (r + R))

V = e R / (r + R)

V = (1.585 x 950) / (950 + 55)

V = 1.498 Volt

(C) V / e = R / (r + R)

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