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The voltage across the 30-k resistor in the figure (Figure 1) is measured with (

ID: 1553396 • Letter: T

Question

The voltage across the 30-k resistor in the figure (Figure 1) is measured with (a) a 70-k voltmeter, (b) a 300-k voltmeter, and (c) a digital meter with 50-Mresistance. To two significant figures, what does each read?

Part A

Express your answer using two significant figures.

Va = V

Part B

Express your answer using two significant figures.

Part C

Express your answer using two significant figures.

Vb =   V   Problem 25.51 The voltage across the 30-k2 resistor in the figure (Figure 1) is measured with (a) a 70-k2 voltmeter, (b) a 300-k2 voltmeter, and (c) a digital meter with 50-M2 resistance. To two significant figures, what does each read? Figure 1 of 1 30 km 100 V 40 km 40 kn Part A Express your answer using two significant figures. 46 My Answers Give Up Submit Incorrect; Try Again; 5 attempts remaining Part B Express your answer using two significant figures. Submit My Answers Give U Part C Express your answer using two significant figures. Submit My Answers Give U

Explanation / Answer

a) r1 = 30*70*1000/100 = 21kohm

r2 = 40*40/80 = 20 kohm

r = r1+r2 = 41 k ohm

i = v/r = 100/41*1000 = 0.0024 amp

voltage across 30 kohm = 0.0024*21*1000 = 51.2 V

b) r1 = 27.27 k ohm

r2 = 20 k ohm

r tot = 47.27 k ohm

i = 100/47.27*100 = 0.0021 amp

v = 0.0021*27.27*1000 = 57.69 V

c) r1 = 29.98 k ohm

r2 = 20 k ohm

r tot = 49.98 k ohm

i = 100/49.98*1000 = 0.002 amp

v = 59.98 V