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WORKSHEET
EQUIVALENT RESISTANCE
1. Two resistors are connected as shown in the figure below. Find the equivalent resistance of these two
resistors.
R1=3 ohms
R2=4 ohms
2. Three resistors are connected as shown in the figure below. Find equivalent of these three resistors.
R1=2 ohms
R2=2 ohms
R3=5 ohms
3. Two resistors are connected as shown in the figure. Find the equivalent resistance of these two resistors.
R1 = 4 ohms
R2 = 4 ohms
4. Two resistors are connected as shown in the figure. Find the equivalent resistance of these two resistors.
R1 = 3 ohms
R2 = 5 ohms
PAGE 1
WORKSHEET
EQUIVALENT RESISTANCE
5. Three resistors are connected as shown in the figure below. Find the equivalent resistance of these three
resistors.
R1 = 2 ohms
R2 = 3 ohms
R3 = 4 ohms
6. Three resistors are connected as shown in the figure below. Find the equivalent resistance of these three
resistors.
R1 = 2 ohms
R2 = 4 ohms
R3 = 8 ohms
7. Three resistors are connected as shown in the figure below. Find the equivalent resistance of these
three resistors.
R2 = 6 ohms
R1 = 2 ohms
R3 = 6 ohms
PAGE 2
WORKSHEET
EQUIVALENT RESISTANCE
8. Four resistors are connected as shown in the figure below. Find the equivalent resistance of these four
resistors.
R2 = 9 ohms
R1 = 3 ohms
R3 = 9 ohms
R4 = 9 ohms
9. Five resistors are connected as shown in the figure below. Find the equivalent resistance of these Five
resistors. R1 = 1 ohms, R2 = 1 ohms, R3 = 2 ohms, R4 = 3 ohms and R5 = 2 ohms.
R2
R1
R3
R4
R5
10. Three resistors are connected as shown in the figure below. Find the equivalent resistance of these three
resistors.
R1 = 2 ohms
R2 = 3 ohms
R3 = 4 ohms
PAGE 3
WORKSHEET
EQUIVALENT RESISTANCE
11. Six resistors are connected as shown in the figure below. Find the equivalent resistance of these six resistors.
R1 = 3 ohms
R4 = 9 ohms
R2 = 3 ohms
R5 = 9 ohms
R6 = 9 ohms
R3 = 3 ohms
12. Ten resistors are connected as shown in the figure below. Find the equivalent resistance of these ten
resistors. R1 = 1 ohms, R2 = 2 ohms, R3 = 3 ohms, R4 = 1 ohms, R5 = 2 ohms, R6 = 3 ohms, R7 = 3 ohms, R8 = 6
ohms, R9 = 3 ohms, R10 = 3 ohms.
R1
R6
R2
R7
R3
R8
R9
R4
R5
R10
PAGE 4
WORKSHEET
EQUIVALENT RESISTANCE
1. Two resistors are connected as shown in the figure below. Find the equivalent resistance of these two
resistors.
Two resistors are connected in series. Therefore their equivalent resistance;
R1=3 ohms
R2=4 ohms
RE = R1 + R2
RE = 3 + 4
RE = 7 ohms
2. Three resistors are connected as shown in the figure below. Find equivalent of these three resistors.
R1=2 ohms
R2=2 ohms
R3=5 ohms
Three resistors are connected in series. Therefore their
equivalent resistance;
RE = R1 + R 2 + R 3
RE = 2 + 2 + 5
RE = 9 ohms
3. Two resistors are connected as shown in the figure. Find the equivalent resistance of these two resistors.
R1 = 4 ohms
R2 = 4 ohms
Two resistors are connected in parallel. Therefore their equivalent resistance;
1/RE = 1/R1 + 1/R2
1/RE = 1/4 + 1/4
1/RE = (1+1)/4
1/RE = 2/4
RE = 4/2
RE = 2 ohms
4. Two resistors are connected as shown in the figure. Find the equivalent resistance of these two resistors.
R1 = 3 ohms
R2 = 5 ohms
Two resistors are connected in parallel. Therefore their equivalent resistance;
1/RE = 1/R1 + 1/R2
1/RE = 1/3 + 1/5
1/RE = 5/15 + 3/15
1/RE = (5+3)/15
1/RE = 8/15
RE = 15/8
RE = 1.88 ohms
PAGE 1
WORKSHEET
EQUIVALENT RESISTANCE
5. Three resistors are connected as shown in the figure below. Find the equivalent resistance of these three
resistors.
Three resistors are connected in parallel. Therefore their equivalent resistance;
1/RE = 1/R1 + 1/R2 + 1/R3
1/RE = 1/2 + 1/3 + 1/4
1/RE = 6/12 + 4/12 + 3/12
1/RE = (6+4+3)/12
1/RE = 13/12
RE = 12/13
RE = 0.92 ohms
R1 = 2 ohms
R2 = 3 ohms
R3 = 4 ohms
6. Three resistors are connected as shown in the figure below. Find the equivalent resistance of these three
resistors.
Three resistors are connected in parallel. Therefore their equivalent resistance;
1/RE = 1/R1 + 1/R2 + 1/R3
1/RE = 1/2 + 1/4 + 1/8
1/RE = 4/8 + 2/8 + 1/8
1/RE = (4+2+1)/8
1/RE = 7/8
RE = 8/7
RE = 1.14 ohms
R1 = 2 ohms
R2 = 4 ohms
R3 = 8 ohms
7. Three resistors are connected as shown in the figure below. Find the equivalent resistance of these
three resistors.
R2 = 6 ohms
R1 = 2 ohms
Step 1;
1/RE1 = 1/R2 + 1/R3
1/RE1 = 1/6 + 1/6
1/RE1 = 2/6
RE1 = 6/2
RE1 = 3 ohms
R3 = 6 ohms
Step 2;
RE2 = R1 + RE1
RE2 = 2 + 3
RE2 = 5 ohms
PAGE 2
WORKSHEET
EQUIVALENT RESISTANCE
8. Four resistors are connected as shown in the figure below. Find the equivalent resistance of these four
resistors.
Step 1;
Step 2;
1/RE1 = 1/R2 + 1/R3 + 1/R4
RE2 = RE1 + R1
R2 = 9 ohms
1/RE1 = 1/9 + 1/9 + 1/9
RE2 = 3 + 3
1/RE1 = (1+1+1)/9
RE2 = 6 ohms
1/RE1 = 3/9
R1 = 3 ohms
R3 = 9 ohms
RE1 = 9/3
RE1 = 3 ohms
R4 = 9 ohms
9. Five resistors are connected as shown in the figure below. Find the equivalent resistance of these Five
resistors. R1 = 1 ohms, R2 = 1 ohms, R3 = 2 ohms, R4 = 3 ohms and R5 = 2 ohms.
R2
R1
R3
R4
R5
Step 1;
RE1 = R1 + R2
RE1 = 1 + 1
RE1 = 2 ohms
Step 2;
RE2 = R4 + R5
RE2 = 3 + 2
RE2 = 5 ohms
Step 3;
1/RE3 = 1/RE1 + 1/R3 + 1/RE2
1/RE3 = 1/2 + 1/2 + 1/5
1/RE3 = 5/10 + 5/10 + 2/10
1/RE3 = (5+5+2)/10
1/RE3 = 12/10
RE3 = 10/12
RE3 = 0.83 ohms
10. Three resistors are connected as shown in the figure below. Find the equivalent resistance of these three
resistors.
R1 = 2 ohms
R2 = 3 ohms
Three resistors here are connected in series.
Therefore their equivalent resistance;
RE = R1 + R2 + R 3
RE = 2 + 3 + 4
RE = 9 ohms
R3 = 4 ohms
PAGE 3
WORKSHEET
EQUIVALENT RESISTANCE
11. Six resistors are connected as shown in the figure below. Find the equivalent resistance of these six resistors.
Step 2;
1/RE2 = 1/R4 + 1/R5 + 1/R6
R1 = 3 ohms
R4 = 9 ohms
1/RE2 = 1/9 + 1/9 + 1/9
1/RE2 = (1+1+1)/9
R2 = 3 ohms
R5 = 9 ohms
1/RE2 = 3/9
RE2 = 9/3
RE2 = 3 ohms
R6 = 9 ohms
R3 = 3 ohms
Step 1;
1/RE1 = 1/R1 + 1/R2 + 1/R3
1/RE1 = 1/3 + 1/3 + 1/3
1/RE1 = (1+1+1)/3
1/RE1 = 3/3
RE1 = 1 ohms
Step 3;
RE3 = RE1 + RE2
RE3 = 1 + 3
RE3 = 4 ohms
12. Ten resistors are connected as shown in the figure below. Find the equivalent resistance of these ten
resistors. R1 = 1 ohms, R2 = 2 ohms, R3 = 3 ohms, R4 = 1 ohms, R5 = 2 ohms, R6 = 3 ohms, R7 = 3 ohms, R8 = 6
ohms, R9 = 3 ohms, R10 = 3 ohms.
R1
R6
R2
R7
R3
R8
R9
R4
R5
Step 1;
RE1 = R1 + R2
RE1 = 1 + 2
RE1 = 3 ohms
Step 2;
RE2 = R4 + R5
RE2 = 1 + 2
RE2 = 3 ohms
R10
Step 3;
1/RE3 = 1/RE1 + 1/RE2 + 1/R3
Step 6;
1/RE6 = 1/RE4 + 1/RE5 + 1/R8
1/RE3 = 1/3 + 1/3 + 1/3
1/RE3 = (1+1+1)/3
1/RE3 = 3/3
RE3 = 1 ohms
1/RE6 = 1/6 + 1/6 + 1/6
1/RE6 = (1+1+1)/6
1/RE6 = 3/6
RE6 = 6/3
RE6 = 2 ohms
Step 4;
RE4 = R6 + R7
RE4 = 3 + 3
RE4 = 6 ohms
Step 5;
RE5 = R9 + R10
RE5 = 3 + 3
RE5 = 6 ohms
Step 7;
RE7 = RE3 + RE6
RE7 = 1 + 2
RE7 = 3 ohms
PAGE 4
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