Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 26, Problem 15P

(a)

To determine

The magnetic force on a charge.

(a)

Expert Solution
Check Mark

Answer to Problem 15P

  (3.804×106N)(k^)

Explanation of Solution

Given:

Charge on the point particle =q=3.64 nC =3.64×109

Velocity of the particle =v=(2750ms)i^

Magnetic field =B=(0.38 T)j^

Formula Used:

Magnetic force on a moving charged particle in a magnetic field region is given as

  F=q(v×B)

Calculation:

Magnetic force on the particle is given as

  F=q(v×B)F=(3.64×109)((2750)i^×(0.38)j^)F=(3.64×109)(2750)(0.38)(i^×j^)F=(3.804×106)(k^)F=(3.804×106N)(k^)

Conclusion:

The magnetic force on the particle is (3.804×106N)(k^) .

(b)

To determine

The magnetic force on a charge.

(b)

Expert Solution
Check Mark

Answer to Problem 15P

  (7.51×106N)(k^)

Explanation of Solution

Given:

Charge on the point particle =q=3.64 nC =3.64×109

Velocity of the particle =v=(2750ms)i^

Magnetic field =B=(0.75 T)i^+(0.75 T)j^

Formula Used:

Magnetic force on a moving charged particle in a magnetic field region is given as

  F=q(v×B)

Calculation:

Magnetic force on the particle is given as

  F=q(v×B)F=(3.64×109)((2750)i^×(0.75 i^+0.75 j^))F=(3.64×109)(2750)(0.75)(i^×i^)+(3.64×109)(2750)(0.75)(i^×j^)F=(3.64×109)(2750)(0.75)(0)+(3.64×109)(2750)(0.75)(k^)F=0+(7.51×106)(k^)F=(7.51×106N)(k^)

Conclusion:

The magnetic force on the particle is (7.51×106N)(k^) .

(c)

To determine

The magnetic force on a charge.

(c)

Expert Solution
Check Mark

Answer to Problem 15P

  0 N

Explanation of Solution

Given:

Charge on the point particle =q=3.64 nC =3.64×109

Velocity of the particle =v=(2750ms)i^

Magnetic field =B=(0.65 T)i^

Formula Used:

Magnetic force on a moving charged particle in a magnetic field region is given as

  F=q(v×B)

Calculation:

Magnetic force on the particle is given as

  F=q(v×B)F=(3.64×109)((2750)i^×(0.65)i^)F=(3.64×109)(2750)(0.65)(i^×i^)F=(3.64×109)(2750)(0.65)(0)F=0 N

Conclusion:

The magnetic force on the particle is 0 N .

(d)

To determine

The magnetic force on a charge.

(d)

Expert Solution
Check Mark

Answer to Problem 15P

  (7.51×106N)(j^)

Explanation of Solution

Given:

Charge on the point particle =q=3.64 nC =3.64×109

Velocity of the particle =v=(2750ms)i^

Magnetic field =B=(0.75 T)i^+(0.75 T)k^

Formula Used:

Magnetic force on a moving charged particle in a magnetic field region is given as

  F=q(v×B)

Calculation:

Magnetic force on the particle is given as

  F=q(v×B)F=(3.64×109)((2750)i^×(0.75 i^+0.75 k^))F=(3.64×109)(2750)(0.75)(i^×i^)+(3.64×109)(2750)(0.75)(i^×k^)F=(3.64×109)(2750)(0.75)(0)+(3.64×109)(2750)(0.75)(j^)F=0+(7.51×106)(j^)F=(7.51×106N)(j^)

Conclusion:

The magnetic force on the particle is (7.51×106N)(j^) .

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