Chapter 29c

# Chapter 29c - Chapter 29 Magnetic Fields Due to Currents...

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Chapter 29: Magnetic Fields Due to Currents Calculating the magnetic field with Biot-Savart law and Ampere’s law. HITT question #1. Magnetic field inside a long solenoid. Magnetic field inside a toroid. Magnetic field of a coil. HITT question #2. Magnetic field “demonstrations”. g October 19, 2009 Ch. 29: Magnetic Fields Due to Currents - Part C 1

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Magnetic Fields due to Currents Biot-Savart law. ˆ s r 0 3 4 ids r dB r 1 0 m / A 7 0 41 Tm Ampere’s law. 0 Bd s i  enc o October 19, 2009 Ch. 29: Magnetic Fields Due to Currents - Part C 2
Magnetic Fields due to Currents B at a perpendicular distance R from a long (infinite) straight wire carrying current i . 0 i B B at a perpendicular distance R from the end of 2 R pp a finite straight wire with length L carrying current i . L 0 22 1 2 / ) i L B R i October 19, 2009 Ch. 29: Magnetic Fields Due to Currents - Part C 3 4 () R LR R P B

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Magnetic Fields due to Currents The magnitude of the magnetic field B at the center of an arc of radius R and carrying current i . 0 4  i B R B The force between parallel currents – the force on wire b due to the magnetic field produced by the current in wire a . Parallel currents attract each other, anti-parallel currents repel each other. ab ba Li i F 0 October 19, 2009 Ch. 29: Magnetic Fields Due to Currents - Part C 4 d 2
B Inside a Long Straight Wire with Current outside the wire inside the wire 0 2 2 i Br R 0 1 2 i B r B October 19, 2009 Ch. 29: Magnetic Fields Due to Currents - Part C 5 r R

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HITT Question 1 The figure gives B inside and outside four wires (1, 2, 3, and 4) as a function of the radial distance Each wire carries a current that is uniformly r . Each wire carries a current that is uniformly distributed across the wire’s cross section. Which ire(s) have the greatest current? wire(s) have the greatest current? A) wire 1; B) wires 1 and 2; C) wires 1 and 3; D) wire 4; ) sufficient info October 19, 2009 Ch. 29: Magnetic Fields Due to Currents - Part C 6 E) insufficient info.
HITT Question 1 The figure gives B inside and outside four wires (1, 2, 3, and 4) as a function of the radial distance Each wire carries a current that is uniformly r . Each wire carries a current that is uniformly distributed across the wire’s cross section. Which ire(s) have the greatest current? wire(s) have the greatest current?

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Chapter 29c - Chapter 29 Magnetic Fields Due to Currents...

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