Adding a resistor to a circuit does not always decrease the current in the circuit. Depending on how you add a resistor to a circuit, adding a resistor can increase the total current in the circuit, and/or increase the current in one part of the circuit. Consider the circuit shown below. 4.0 Ω 3.003 36.00 18 V (a) How would you add a resistor with a resistance of 13.0 2 to the circuit so that the current through the 3.0 2 resistor is maximized? O Put the new resistor in parallel with the 3 and 6 2 resistors. O Put the new resistor in series with the 42 resistor. Put the new resistor in parallel with the 4 2 resistor. O Put the new resistor in series with the 32 resistor. O Put the new resistor in parallel with the battery. O Put the new resistor in series with the 62 resistor. (b) By how much does the current through the 3.0 2 resistor increase when you do that? The current increases by XA.

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Adding a resistor to a circuit does not always decrease the current in the circuit. Depending on how you add a resistor to a circuit, adding a resistor can increase the total current in the circuit, and/or
increase the current in one part of the circuit. Consider the circuit shown below.
18 V
4.0 Ω
M
3.0 Ω
SS
6.0 Ω
(a) How would you add a resistor with a resistance of 13.0 to the circuit so that the current through the 3.0 2 resistor is maximized?
Put the new resistor in parallel with the 3 and 6 resistors.
Put the new resistor in series with the 4
resistor.
Put the new
resistor in parallel with the 4
resistor.
Put the new resistor in series with the 3 resistor.
Put the new resistor in parallel with the battery.
Put the new resistor in series with the 6 resistor.
(b) By how much does the current through the 3.0 resistor increase when you do that?
The current increases by
XA.
Enter a number.
Transcribed Image Text:Adding a resistor to a circuit does not always decrease the current in the circuit. Depending on how you add a resistor to a circuit, adding a resistor can increase the total current in the circuit, and/or increase the current in one part of the circuit. Consider the circuit shown below. 18 V 4.0 Ω M 3.0 Ω SS 6.0 Ω (a) How would you add a resistor with a resistance of 13.0 to the circuit so that the current through the 3.0 2 resistor is maximized? Put the new resistor in parallel with the 3 and 6 resistors. Put the new resistor in series with the 4 resistor. Put the new resistor in parallel with the 4 resistor. Put the new resistor in series with the 3 resistor. Put the new resistor in parallel with the battery. Put the new resistor in series with the 6 resistor. (b) By how much does the current through the 3.0 resistor increase when you do that? The current increases by XA. Enter a number.
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We are given a circuit with resistances and battery. We are given a resistor to be added to circuit. We find how this resistor is to be added to that current is maximized through the given resistor. We first find old current and then new current through the given resistor. We then find change in current.

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