20.P Ask Your Teach Determine the equivalent resistance between the points A and
ID: 1657081 • Letter: 2
Question
20.P Ask Your Teach Determine the equivalent resistance between the points A and B for the group of resistors in the drawing. Use R1-7 , R2 R3-12 . Req 11 and Enter a number 20.0 9.0 6.0 Additional Materials Section 20.8 Save 2. 3.3 points CJ 10 20P066 Go. My Notes Ask Your Teach · The circuit in the drawing contains three identical resistors. Each resistor has a value of 99.0 . Determine the equivalent resistance between the points a and b, b and c, and a and c. Rab" bc Rac " e GO Tutorial Additional Materiales Section 20.8Explanation / Answer
net resistance when resistors are in series = R1 + R2
net resistance of resistors when resistors are in parallel = 1 / (1 / R2 + 1 / R2)
9 ohm resistor and R3 are parallel so
1 / Ra = 1 / 9 + 1 / R3
1 / Ra = 1 / 9 + 1 / 12
Ra = 5.143 ohm
R2 and 6 ohm resistor are in series so,
Rb = 6 + R2
Rb = 6 + 11
Rb = 17 ohm
Rb and Ra are parallel so,
1 / Rc = 1 / Ra + 1 / Rb
1 / Rc = 1 / 5.143 + 1 / 17
Rc = 3.948 ohm
Rc and R1 are in series
Rd = R1 + Rd
Rd = 7 + 3.948
Rd = 10.948 ohm
Rd and 20 ohm resistors are in parallel so,
1 / Rnet = 1 / Rd + 1 / 20
1 / Rnet = 1 / 10.948 + 1 / 20
Rnet = 7.075 ohm
net resistance between point A and B = 7.075 ohm
Rab = 99 ohm
1 / Rbc = 1 / 99 + 1 / 99
Rbc = 49.5 ohm
Rac = 99 + 49.5
Rac = 148.5 ohm
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