Figure 1 Figure 2 Figure 3 l. In the series circuit as shown in Figure 1, if the

Question

Figure 1 Figure 2 Figure 3 l. In the series circuit as shown in Figure 1, if the resistance of R3 were increased, what change would you observe in the value of l and in the values of V, V2, and V3? 2. In the parallel circuit as shown in Figure 2, if the resistance of R3 were increased, what change would you observe in the value of l and in the values of li, I2, and 13? 3. In the series and parallel combination circuit as shown in Figure 3, derive a formula for the equivalent resistance R without substituting the values of R1, R2, and R3. 4. In the series and parallel combination circuit as shown in Figure 3, if the resistance of R3 were increased, what change would you observe in the values of I, I, 12, 13, Vi, V2, and V3? 5. You are given three identical resistors of resistance R. Draw all possible combinations using 1, 2, or 3 resistors and calculate the equivalent resistance. 6. Prove that when n identical resistors of resistance R are connected in parallel the equivalent resistance is R/n. 7. A piece of copper wire of resistance R is cut into 3 equal parts. When these three parts are connected in parallel, what is the resistance of the combination?

Explanation / Answer

3) From Figure 3 we get,

Series equivalent resistance = Rs = R1 + R2 + R3

Parallel equivalent resistance = Rp = 1/[(1/R1) + (1/R2) + (1/R3)] = R1R2R3/(R1R2 + R1R3 + R2R3)

7) When we cut the wire in three equal parts then resistance of each wire = R/3

When we connect these three parts in parallel then net resistance = Rnet = R/9 ohm

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