Four resistors are connected to a battery as shown in the figure. The current in

Question

Four resistors are connected to a battery as shown in the figure. The current in the battery is I, the battery emf is E, and the resistor values are R R, R 2R, 4R, and 22 3R Re 2R Rs 4R (a) Rank the resistons according to the potential difference across them, from largest to smallest. (Use the following as necessary: AVi, A AV3, and AV4) X R3 R2 X R1 (b) Determine the potential difference across each resistor in terms of &. (Use the following as necessary for E.) E) AV 2E) AV (4E) AV. 2E) AV

Explanation / Answer

a) v4>v3>>v1>v2

b) v4 = 2E/3

v1 = E/3

v2 = 2E/9

v3 = 4E/9

c) option 3

d) i1 = i

i2 = i/3

i3 = i/3

i4 = 2i/3

e) in this case i flows through R1 and R4 and nothing flows through R2 and R3

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