Four resistors are connected to a battery as shown in the figure below. (b) Dete

Question

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

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

(c) If R3 is increased, explain what happens to the current in each of the resistors.

(d) 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?

?V1 = ?V2 = ?V3 = ?V4 = Four resistors are connected to a battery as shown in the figure below. (a) Determine the potential difference across each resistor in terms of epsilon. (Use the following as necessary: for epsilon .) (b) Determine the current in each resistor in terms of I. (c) If R3 is increased, explain what happens to the current in each of the resistors. (d) 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?

Explanation / Answer

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

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

3. If R3 is increased, what happens to the current in each of the resistors?

I4 increases and I1, I2, and I3 decrease.

4. I2 = 0.
I3 = 0.

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