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D2-LMCT21: Two RESISTORS IN PARALLEL-BATTERY CURRENT For the circuit shown, iden

ID: 2041085 • Letter: D

Question

D2-LMCT21: Two RESISTORS IN PARALLEL-BATTERY CURRENT For the circuit shown, identify, from choices (i)-(iv), how each change described below will affect the current in the batter;y This change will: (i) increase the current in the battery. (ii) decrease the current in the battery (ii) have no effect on the current in the battery (iv) have an effect on the current in the battery that cannot be determined All of these modifications are changes to the initial situation that is shown (a) The resistance in R1 is reduced. Explain your reasoning. (b) The resistance inK, is reduced. Explain your reasoning. (c) The resistance in R, and R, are increased by the same amount. Explain your reasoning. (d) The resistance in R, is reduced, and in R, it is increased. Explain.

Explanation / Answer

a) i) increase the current in the battery.

I_battery = I1 + I2

I_battery = V/R1 + V/R2

from the above equation as R1 decreases I_battery increases.

b) i) increase the current in the battery.

I_battery = I1 + I2

I_battery = V/R1 + V/R2

from the above equation as R2 decreases I_battery increases.

c) ii) derease the current in the battery.

I_battery = I1 + I2

I_battery = V/R1 + V/R2

from the above equation as R1 and R2 increases I_battery decreases.

d) iv) have an effect on the current in the battery that can not be determined.

I1 = V/R1

I2 = V/R2

so, I1 increases and I2 decreases.

But I_battery = I1 + I2

so, we can not determine current through the battery.