15-turn coil R

College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 1.90 cm and 1.00x103 turns/meter (see figure below). The current in the solenoid changes as I = 5.00 sin(120t), where is in amperes and t is in seconds. Find the induced emf (in volts) in the 15-turn coil as a function of time. 

### Inductive Coil and AC Circuit Diagram

This diagram illustrates a 15-turn coil wrapped around a cylindrical core, typically used to demonstrate the principles of electromagnetic induction in educational settings.

**Components Explained:**

1. **15-Turn Coil**: The coil is made up of 15 loops of wire wrapped around the cylindrical core. This structure is crucial for generating a magnetic field when electric current flows through it.

2. **Cylindrical Core**: The core can be a magnetic or non-magnetic material that provides a surface for the coil to wrap around. It often enhances the magnetic field generated by the coil.

3. **AC Voltage Source**: The symbol for an alternating current (AC) source is depicted as a wave inside a circle. This symbol represents the input voltage that powers the circuit, causing the current to alternate direction periodically.

4. **Resistor (R)**: The resistor in the circuit limits the flow of electric current to a safe level, preventing damage to the circuit.

5. **Current (I)**: Arrows are used to indicate the direction of conventional current flow, which moves from the positive to the negative terminal of the voltage source.

The setup is often used to study how changing electrical currents can create varying magnetic fields and vice versa, a fundamental principle behind transformers and many types of electrical machinery.
Transcribed Image Text:### Inductive Coil and AC Circuit Diagram This diagram illustrates a 15-turn coil wrapped around a cylindrical core, typically used to demonstrate the principles of electromagnetic induction in educational settings. **Components Explained:** 1. **15-Turn Coil**: The coil is made up of 15 loops of wire wrapped around the cylindrical core. This structure is crucial for generating a magnetic field when electric current flows through it. 2. **Cylindrical Core**: The core can be a magnetic or non-magnetic material that provides a surface for the coil to wrap around. It often enhances the magnetic field generated by the coil. 3. **AC Voltage Source**: The symbol for an alternating current (AC) source is depicted as a wave inside a circle. This symbol represents the input voltage that powers the circuit, causing the current to alternate direction periodically. 4. **Resistor (R)**: The resistor in the circuit limits the flow of electric current to a safe level, preventing damage to the circuit. 5. **Current (I)**: Arrows are used to indicate the direction of conventional current flow, which moves from the positive to the negative terminal of the voltage source. The setup is often used to study how changing electrical currents can create varying magnetic fields and vice versa, a fundamental principle behind transformers and many types of electrical machinery.
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