93. 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 1 resistance R for the circuit shown can be computed from the formula where R2 R1 R1 R2 R and R, are the resistances in the individual branches. Suppose that a resistor with a fixed resistance of 6N (ohms) is placed in parallel with a variable resistor of resistance x. a. Write R as a function of x. b. Complete the table. Current 6 12 18 30 R(x) c. What value does R(x) approach as x→ 0? Discuss the significance of this result.

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93. 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
1
resistance R for the circuit shown can be computed from the formula
where
R2
R1
R1
R2
R and R, are the resistances in the individual branches. Suppose that a resistor with a fixed
resistance of 6N (ohms) is placed in parallel with a variable resistor of resistance x.
a. Write R as a function of x.
b. Complete the table.
Current
6
12
18
30
R(x)
c. What value does R(x) approach as x→ 0? Discuss the significance of this result.
Transcribed Image Text:93. 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 1 resistance R for the circuit shown can be computed from the formula where R2 R1 R1 R2 R and R, are the resistances in the individual branches. Suppose that a resistor with a fixed resistance of 6N (ohms) is placed in parallel with a variable resistor of resistance x. a. Write R as a function of x. b. Complete the table. Current 6 12 18 30 R(x) c. What value does R(x) approach as x→ 0? Discuss the significance of this result.
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