A parallel circuit is one with several paths through which electricity can travel. The total resistance in a parallel circuit is always less than the resistance in any single branch. The total resistance R for the circuit shown can be computed from the , where R1 and R2 are the resistances in the individual branches. Suppose that a resistor with a R2 formula R1 fixed resistance of 6 0 (ohms) is placed in parallel with a variable resistor of resistance x. a. Write R as a function of x. b. Complete the table. 12 18 30 R(x) c. What value does R(x) approach as x → 0? Discuss the significance of this result. Г R, Current- ww

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A parallel circuit is one with several paths through which electricity can travel. The total resistance in a parallel circuit is
always less than the resistance in any single branch. The total resistance R for the circuit shown can be computed from the
, where R1 and R2 are the resistances in the individual branches. Suppose that a resistor with a
R2
formula
R1
fixed resistance of 6 0 (ohms) is placed in parallel with a variable resistor of resistance x.
a. Write R as a function of x.
b. Complete the table.
12
18
30
R(x)
c. What value does R(x) approach as x → 0? Discuss the significance of this result.
Г
R,
Current-
ww
Transcribed Image Text:A parallel circuit is one with several paths through which electricity can travel. The total resistance in a parallel circuit is always less than the resistance in any single branch. The total resistance R for the circuit shown can be computed from the , where R1 and R2 are the resistances in the individual branches. Suppose that a resistor with a R2 formula R1 fixed resistance of 6 0 (ohms) is placed in parallel with a variable resistor of resistance x. a. Write R as a function of x. b. Complete the table. 12 18 30 R(x) c. What value does R(x) approach as x → 0? Discuss the significance of this result. Г R, Current- ww
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