Four resistors are connected to a battery as shown in Figure P28.19. The current in the battery is I, the battery emf is , and the resistor values are R1 = R, R2 = 2R, R3 = 4R, R4 = 3R.
(a) Rank the resistors according to the potential difference across them, from largest to smallest. Note any cases of equal potential differences.
(b) Determine the potential difference across each resistor in terms of Є.
(c) Rank the resistors according to the current in them, from largest to smallest. Note any cases of equal currents.
(d) Determine the current in each resistor in terms of I.
(e) What If? If R3 is increased, what happens to the current in each of the resistors?
(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?

R2 2R R1 -R Rs-4R