questions 5-8 refer to the following circuit Questions 5-8 refer to the followin

Question

questions 5-8 refer to the following circuit

Questions 5-8 refer to the following circuit. Use tables where possible to present your results. They will make the questions easier to mark for the markers 162 1 402 5. What are the values of the equivalent resistances Rap. Roc. Red, Raw Re? Note that Rfor example, refers to the equivalent resistance between node and node b 6. A voltage source is connected between node a and b which cause a current of value10A flowing into node a and cut of node b. What is the current flowing through each resistor in the cirout? Use a table to present your results (show the steps of calculations) 7. Remove the voltage source in Question 6. A votage source of value V-7V is connected betwoen node e and node f(positive terminal at node e and negative terminal at node t What is the vaitage across each resistor in the circuit? Use a table to present your results. 8 What is the pawer dissipsted in each resister in Question 8? Use a table to present your results

Explanation / Answer

Q5.

while finding resistance between two nodes, other nodes will be assumed to

be open circuited.

hence any free hanging resistance will not feature in resistance calculation

Rab:

resistance between a and b:

5 ohms and 6 ohms are free hanging resistors and hence wont be considered while finding resistance between a and b

now, 1 ohms, 3 ohms and 4 ohms are in series.

their equivalent resistance=1+3+4=8 ohms

8 ohms is in parallel with 2 ohms.

then net resistance=8*2/(8+2)=1.6 ohms

hene Rab=1.6 ohms

resistance between b and c:

only resistance that acts between b and c is 5 ohms

hence Rbc=5 ohms

resistance between c and d:

2 ohms,1 ohms and 3 ohms are in series.

their equivalent resistance=2+1+3=6 ohms

6 ohms is in parallel with 4 ohms

their equivalent resistance=6*4/(6+4)=2.4 ohms

2.4 ohms is in series with 5 ohms and 6 ohms

then net resistance=2.4+5+6=13.4 ohms

Rcd=13.4 ohms

resistance between d and e:

only resistance acting between d and e is 6 ohms

hence Rde=6 ohms

resistance between e and f:

5 ohms and 6 ohms will be ignored as they are free hanging resistors.

4 ohms, 2 ohms and 1 ohm are in series

their net resistance=4+2+1=7 ohms

it is in parallel with 3 ohms

then net resistance=7*3/(7+3)=2.1 ohms

hence Ref=2.1 ohms

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