(a) Rank the resistors according to the potential difference across them, from l

Question

(a) Rank the resistors according to the potential difference across them, from largest to smallest. (Use the following as necessary: ?V1, ?V2, ?V3, and ?V4)

1

2

3

4

(c) Rank the resistors according to the current in them, from largest to smallest. Note any cases of equal currents.

I1 > I4 > I3 > I2I1 > I4 > I2 = I3     I1 = I4 > I2 > I3I2 > I3 > I1 > I4

(d) Determine the current in each resistor in terms of I.

(e) If R3 is increased, what happens to the current in each of the resistors?

I1 increases and I2, I3, and I4 decrease. I1 and I4 increase and I2 and I3 decrease     I1, I2, I3, and I4 increase. I4 increases and I1, I2, and I3 decrease.

(f) In the limit that R3 ? ?, what are the new values of the current in each resistor in terms of I, the original current in the battery?

please help

1

2

3

4

Explanation / Answer

1.R2<R1<R3<R4

2.?V1 = E/3
?V2 = 2E9
?V3 = 4E/9
?V4 = 2E/3

c.I1 > I4 > I2 = I3

d.I1 = I.
I2 = I/3.
I3 = I/3
I4 = 2I/3

e.I4 increases and I1, I2, and I3 decrease

f. f) R3 to infinity means it is open, which means the current is zero in R2 and R3

The current I now flows through R1 and R4, so the currents in them are equal to I, I agree.

Unless the numerical relationships between the resistors still applies, so if R3 is open, then R is also open, so is all the other resistors, and all the currents are zero.

I2 = 0.
I3 = 0.

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