Survey

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Survey

Document related concepts

no text concepts found

Transcript

TPT Original Science Teaching Resources From REMEMBER if you RATE and COMMENT on a purchased product then you can earn TPT CREDITS to save you some money on future purchases! CLICK OTHER RESOURCES TO SEE THEM IN SCIENCE MASTERâ€™S STORE 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 By: Science Master © 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 By: Science Master © 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 By: Science Master © 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 By: Science Master © 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 By: Science Master © 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 By: Science Master © 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 By: Science Master © 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 By: Science Master © 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