Consider 6 resisters are connected in a circuit as shown in the Figure below (R

Question

Consider 6 resisters are connected in a circuit as shown in the Figure below (R1 = 4 ohm, R2 = 8 ohm, R3 = 2 ohm, R4 = 14 ohm, R5 = 28 ohm and R6 = 4 ohm). The potential difference across the R1 =4 ohm resistor is V= 11V. Determine:

a) The current through the battery.
  

b) The emf of the battery.


c) The current in the R2 resistor.
  

d) The voltage between points a and b?
  

e) The power dissipated in the R4 resistor.

Consider 6 resisters are connected in a circuit as shown in the Figure below (R1 = 4 ohm, R2 = 8 ohm, R3 = 2 ohm, R4 = 14 ohm, R5 = 28 ohm and R6 = 4 ohm). The potential difference across the R1 =4 ohm resistor is V= 11V. Determine: a) The current through the battery. b) The emf of the battery. c) The current in the R2 resistor. d) The voltage between points a and b? e) The power dissipated in the R4 resistor.

Explanation / Answer

effective resistance of R2,R3,R4,R5,R6 is 5.7 ohms

current through this effective resistance = current through R1

current through R1 = V1/R1 = 11/4 =2.75A

effective resistance of the circuit

R = 4+5.7= 9.7 ohms

a) current through battery I= 2.75A

b) the emf of battery V= IR=26.7V

c) current in resistor R2, I2 = (V-V1)/(R2+R3) =15.7/10 =1.57A

d) voltage between a and b Vab V-V1 = 15.7 V

e) power dessipated in R4

V4- Vab -V6

i6 =i1-i2 = 2.75 -1.57 =1.1A

V6 = 1.1 x 4 = 4.4V

V4 = 15.7 - 4,4 =11.3V

P4 = V42/R4 = 9.1W

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