Maximum current through resistor in a coil of wire with two resistors in parallel

In summary, the maximum current that can flow through a resistor in a coil of wire with two resistors in parallel depends on the individual resistance values of the two resistors. The total resistance decreases when two resistors are placed in parallel, and the maximum current through a resistor in a parallel circuit cannot exceed the current of the power source. The total power dissipated in a parallel circuit with two resistors can be calculated using the formula P = VI, and the placement of the two resistors in the parallel circuit does not affect the maximum current through a single resistor.
  • #1
conov3
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Homework Statement



A coil of wire has 600 turns and is 5.5 cm in diameter is in a magnetic field that decreases from 2.2 T to 0 T in 6.2 ms. The axis of the coil is parallel to the field. The coil is hooked up to two resistors of 120 Ω and 200 Ω connected in parallel. What is the maximum current through the 200 Ω resistor?

Homework Equations



B=uoNI/l
I=V/R
R= (1/R1+1/R2)-1
?

The Attempt at a Solution



I know I need to find voltage and then find current of just the 200 ohm resistor
 
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  • #2
Hint: Look up Faraday's Law of Induction
 

1. What is the maximum current that can flow through a resistor in a coil of wire with two resistors in parallel?

The maximum current that can flow through a resistor in a coil of wire with two resistors in parallel depends on the individual resistance values of the two resistors. The maximum current through a resistor in a parallel circuit can be calculated using Ohm's Law, where I = V/R, with V being the voltage across the resistor and R being the resistance of that specific resistor.

2. How does the total resistance change when two resistors are placed in parallel?

When two resistors are placed in parallel, the total resistance decreases. This is because the current has multiple pathways to flow through, rather than being restricted to one resistor. The total resistance can be calculated by adding the reciprocals of the individual resistances and then taking the reciprocal of the sum.

3. Can the maximum current through a resistor in a parallel circuit ever exceed the current of the power source?

No, the maximum current through a resistor in a parallel circuit cannot exceed the current of the power source. The total current in a parallel circuit is always equal to the current of the power source, as the current is split between the different pathways.

4. How do you calculate the total power dissipated in a parallel circuit with two resistors?

The total power dissipated in a parallel circuit with two resistors can be calculated using the formula P = VI, where V is the voltage across the resistors and I is the total current in the circuit. The voltage across each resistor can be calculated using Ohm's Law, and the total current can be found by adding the individual currents in each branch of the circuit.

5. Does the placement of the two resistors in the parallel circuit affect the maximum current through a single resistor?

No, the placement of the two resistors in the parallel circuit does not affect the maximum current through a single resistor. As long as the resistors are in parallel, the maximum current through a single resistor will be the same, regardless of their placement in the circuit.

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