Consider the following figure. 7.00 N 4.00 N 9.00 N R a b. (a) Find the equivalent resistance between points a and b in the figure. (R = 15.5 N) (b) Calculate the current in each resistor if a potential difference of 27.0 V is applied between points a and b.

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Tutorial Exercise
Consider the following figure.
7.00 N
4.00 N
9.00 N
R
a
b
(a) Find the equivalent resistance between points a and b in the figure. (R = 15.5 2)
(b) Calculate the current in each resistor if a potential difference of 27.0 V is applied between points a and b.
Step 1
(a) The 7.00-2 and the R = 15.5 N resistors between points c and d in the figure above are connected in parallel with each other. Thus we can redraw the
figure, as shown in the diagram below where Rcd is the equivalent resistance between points c and d in the original figure.
Transcribed Image Text:Tutorial Exercise Consider the following figure. 7.00 N 4.00 N 9.00 N R a b (a) Find the equivalent resistance between points a and b in the figure. (R = 15.5 2) (b) Calculate the current in each resistor if a potential difference of 27.0 V is applied between points a and b. Step 1 (a) The 7.00-2 and the R = 15.5 N resistors between points c and d in the figure above are connected in parallel with each other. Thus we can redraw the figure, as shown in the diagram below where Rcd is the equivalent resistance between points c and d in the original figure.
4.00 2
Red
9.00 2
For the equivalent resistance, we have
1
Rcd =
4.82
4.82 2.
7.00 2
15.5
15.5 Q
This resistance is in series with the 4.00-N and the 9.00-2 resistors as shown in the diagram in this step. Let R, represent the 4.00-2 resistance and R. the
9.00-2 resistance. The total resistance Rh between points a and b is then
Pab = R4 + Rcd + R.
= 4.00 2 + 4.84
4.82| Ω + 9.00 Ω-17.849|
17.8 2.
Step 2
(b) If the potential difference between points a and b is AVah = 27.0 V, then the current Ih between points a and b is
Δν.
Iab =
ab
ab
A.
Transcribed Image Text:4.00 2 Red 9.00 2 For the equivalent resistance, we have 1 Rcd = 4.82 4.82 2. 7.00 2 15.5 15.5 Q This resistance is in series with the 4.00-N and the 9.00-2 resistors as shown in the diagram in this step. Let R, represent the 4.00-2 resistance and R. the 9.00-2 resistance. The total resistance Rh between points a and b is then Pab = R4 + Rcd + R. = 4.00 2 + 4.84 4.82| Ω + 9.00 Ω-17.849| 17.8 2. Step 2 (b) If the potential difference between points a and b is AVah = 27.0 V, then the current Ih between points a and b is Δν. Iab = ab ab A.
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