Consider the circuit shown in the figure (Figure 1). Suppose the four resistors

Question

Consider the circuit shown in the figure (Figure 1). Suppose the four resistors in this circuit have the values R_1 = 13 Ohm, R_2 = 6.1 Ohm, R_3 = 7.9 Ohm, and R_4 = 13 Ohm, and that the emf of the battery is epsilon = 18 V. Find the current through each resistor using the rules for series and parallel resistors. Express your answers using two significant figures separated by commas. Find the current through each resistor using Kirchhoff's rules. Express your answers using two significant figures separated by commas.

Explanation / Answer

Given that

voltage v=18 v

resistance R1=13 ohm

resistance R2=6.1 ohm

resistance R3=7.9 ohm

resistance R4=13 ohm

now we find the current in each resistance

R2 and R4 are series connection

resistance R=6.1+13=18.1 ohm

resistance R and R3 are parallel connection

resistance r=18.1*7.9/18.1+7.9=5.5 ohm

resistance r and R1 are series connection

the equivalent resistance Req=5.5+13=18.5 ohm

current on resistance R1=>I1=18/18.5=0.97 A

current on resistance R3=>I3=7.9*0.97/7.9+18.1=0.295 A

current on resistance R2and R4=>I2=I4=18.1*0.97/7.9+18.1=0.675 A

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