1. Consider the circuit shown below: All of the resistors have the same resistance R] = R2 = R3 = R4 = R. [Don't izrrorrli,r about the points labeled A and B, these will be used in a future homework assignment.) a) Find the equivalent resistance in terms of R. 1)) Express the power supplied by the battery and the power dissipatesi by each resistor in terms of E and R. Add up the power dissipated by the resistors, does the result make sense? [2) Now suppose all the resistances R1, Hg, 33, and R4 are arbitrary (but non-zero). We change the circuit by connecting points A and B with an equipotential (a reaist-anceless wire]. How does the brightness of each lightbulb change? For example, was lightbulb l (resistor R1) bright-er before or after connectirg points A and B, or is the brightness the same? [1) Again, take the resistances to be arbitrary but. non-zero. \"we remove the equip-otential connecting points A and B but lightbulb l burns out. which means current cannot ow through R1. How does the brightness of each lightbulb change in this case