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An ion with charge of 3.2 x 10-19 C and mass of 6.64 x 10-27 kg starts in a reg…

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Wize University Physics Textbook (Master) > Newton's Laws of Motion: Forces and Dynamics

Magnetic Force

6 Activities

Wize University Physics Textbook (Master) > Newton's Laws of Motion: Forces and Dynamics

Electrostatic Force

3 Activities

An ion with charge of 3.2 x 10-19 C and mass of 6.64 x 10-27 kg starts in a region with E=500 N/C k^\hat k . It moves for Δz=3m k^\Delta z=3m\,\hat k and then experiences a constant magnetic field.
  1. With what speed does it enter the magnetic field region?
  2. What magnetic field is required so that the ion continues with a constant velocity?
More Magnetic Force Questions:
EXAMPLE: A positively charged particle of 2.01 x 10-5 C and mass 7.52 x 10-16 kg is travelling at a velocity of 2.0 x 102 m/s in the positive horizontal direction. It enters a uniform magnetic field of 1.50 T which is pointing upward.
How much is the force on the particle as it enters the magnetic field?
The particle starts to move in a circular path. Find the radius of this circular path.
A positively charged particle of 2.01 x 10-5 C and mass 7.52 x 10-16 kg is travelling at a velocity of 2.0 x 102 m/s in the positive horizontal direction. It enters a uniform magnetic field of 1.50 T which is pointing upward.
How much is the force on the particle as it enters the magnetic field?
The particle starts to move in a circular path. Find the radius of this circular path.
Practice: Magnetic Field of Current-Carrying Wires
Four straight wires, sitting at each corner of a square, are carrying equal electric currents I perpendicular to the page, as shown below.
a) Find the direction of net magnetic field at the center of square.
Practice: Magnetic Field of Current-Carrying Wires
Four straight wires, sitting at each corner of a square, are carrying equal electric currents I perpendicular to the page, as shown below.
a) Find the direction of net magnetic field at the center of square.
A positively charged particle of 2.01 x 10-5 C and mass 7.52 x 10-16 kg is travelling at a velocity of 2.0 x 102 m/s in the positive horizontal direction. It enters a uniform magnetic field of 1.50 T which is pointing upward.
How much is the force on the particle as it enters the magnetic field?
The particle starts to move in a circular path. Find the radius of this circular path.
An ion with charge of 3.2×10−19 C3.2\times 10^{-19}~\rm C and mass of 6.64×10−27 kg6.64\times 10^{-27}~\rm kg is moving with velocity of 8×104 m/s ȷ^8\times 10^4~\rm m/s~\hat\jmath in a region where there is a uniform magnetic field with intensity of −1 T ȷ^-1~\rm T~\hat\jmath
What is the radius of rotation of the ion?
What is the vector that connects the ion to the center of the circle?
Magnetic Field of Current Carrying Wires
Four straight wires, sitting at corners of a square, are carrying equal electric currents perpendicular to this page, as shown below.
Find the direction of net magnetic field at the center of square.
What is the expression for the magnitude of magnetic field at the center?
More Electrostatic Force Questions:
Conductors, Insulators and Induced Charges
Practice: Conductors, Insulators, and Induced Charge
Consider two spheres; they are either positively charged, negatively charged, or neutral.
a) What can you say about the charge on the two spheres if they are electrically attracted to each other?
Coulomb’s Law
Two point charges are located on the x-axis as shown below.
a) Where should a third charge, q3=+8.00μCq_3=+8.00\mu C, be placed on the y-axis so that the net force on q2q_2 makes an angle of +45°+45\degree above the negative x-axis?
b) For additional practice: What is the magnitude of the net force? (Not in video; see written solution)
Square of charges
Four charges are arranged in a square with sides of length 2.5 cm.
Find the net force on q1 (both magnitude and direction)
Kinematic equations with a charge
An electron is shot at an initial speed of 3.00 × 106 m/s, perpendicular to a uniform electric field, as shown below. Electrons hits the right plate at vertical distance 6.00 cm.
a) If the electron was 4.00 cm away from this plate initially, calculate the magnitude of the electric field.
b) What is the direction?
Coulomb’s Law
EX: Two point charges are located on the x-axis as shown below.
a) Where should a third charge, q3=+8.00μCq_3=+8.00\mu C, be placed on the y-axis so that the net force on q2q_2 makes an angle of +45°+45\degree above the negative x-axis?
b) For additional practice: What is the magnitude of the net force? (Not in video; see written solution)
Placing a third charge - x-axis
EX: Two point charges are located as shown below.
a) Where should be a third negative chargeq3q_3be placed on the x-axis such that the net forces onq1q_1 andq2q_2 be equal to zero?
b) What should the magnitude of the charge be?
Conductors, Insulators and Induced Charges
Practice: Conductors, Insulators, and Induced Charge
Consider two spheres; they are either positively charged, negatively charged, or neutral.
a) What can you say about the charge on the two spheres if they are electrically attracted to each other?
Placing a third charge - x-axis
Two point charges are located as shown below.
a) Where should be a third negative charge q3q_3 be placed on the x-axis such that the net forces on q1q_1 and q2q_2 be equal to zero?
b) What should the magnitude and sign of the charge be?
Coulomb’s Law
Two point charges are located on the x-axis as shown below.
a) Where should a third charge, q3=+8.00μCq_3=+8.00\mu C, be placed on the y-axis so that the net force on q2q_2 makes an angle of +45°+45\degree above the negative x-axis?
b) For additional practice: What is the magnitude of the net force? (Not in video; see written solution)
Square of charges
Four charges are arranged in a square with sides of length 2.5 cm.
Find the net force on q1 (both magnitude and direction)
Placing a third charge - y-axis
Practice: Coulomb's Law with Vectors
Two point charges are located on the x-axis as shown below.
a) Where should a third charge, q3=+8.00μCq_3=+8.00\mu C, be placed on the y-axis so that the net force on q2q_2 makes an angle of +45°+45\degree above the negative x-axis?
Conductors, Insulators and Induced Charges
Practice: Conductors, Insulators, and Induced Charge
Consider two spheres; they are either positively charged, negatively charged, or neutral.
a) What can you say about the charge on the two spheres if they are electrically attracted to each other?
Kinematic equations with a charged particle
Practice: Electron Moving Between Two Plates
An electron is shot at an initial speed of 3.00 × 106 m/s up the page. There is a uniform electric field that points from one parallel plate to the other, and the electron starts moving towards the plate on the right, as shown below. The electron hits the right plate at vertical distance of 6.00 cm above where it started.
a) Based on the direction of the electron motion shown below, what is the direction of the electric field?
Kinematic equations with a charged particle
Practice: Electron Moving Between Two Plates
An electron is shot at an initial speed of 3.00 × 106 m/s up the page. There is a uniform electric field that points from one parallel plate to the other, and the electron starts moving towards the plate on the right, as shown below. The electron hits the right plate at vertical distance of 6.00 cm above where it started.
a) Based on the direction of the electron motion shown below, what is the direction of the electric field?
Placing a third charge - y-axis
Practice: Coulomb's Law with Vectors
Two point charges are located on the x-axis as shown below.
a) Where should a third charge, q3=+8.00μCq_3=+8.00\mu C, be placed on the y-axis so that the net force on q2q_2 makes an angle of +45°+45\degree above the negative x-axis?
Square of charges
Four charges are arranged in a square with sides of length 2.5 cm.
Find the net force on q1 (both magnitude and direction).
...........
Conductors, Insulators and Induced Charges
Example: Conductors, Insulators, and Induced Charge
Consider two spheres; they are either positively charged, negatively charged, or neutral.
a) What can you say about the charge on the two spheres if they are electrically attracted to each other?
An electron (me = 9.109 x 10-31 kg) travels due north at a speed of 2.0 x 105 m/s. A constant electric field stops the electron in a distance of 10m. What is its magnitude and orientation?
At a certain point on Earth, there is a constant electric field E pointing downwards. A small ball of negligible mass carrying a charge of q is thrown straight upwards with a velocity v0. How high does the ball get if: a) q is positive? b) q is negative?
Placing a third charge - x-axis
Two point charges are located as shown below.
a) Where should be a third negative chargeq3q_3be placed on the x-axis such that the net forces onq1q_1 andq2q_2 be equal to zero?
b) What should the magnitude of the charge be?
Square of charges
Four charges are arranged in a square with sides of length 2.5 cm.
Find the net force on q1 (both magnitude and direction)
Coulomb’s Law
Two point charges are located on the x-axis as shown below.
a) Where should a third charge, q3=+8.00μCq_3=+8.00\mu C, be placed on the y-axis so that the net force on q2q_2 makes an angle of +45°+45\degree above the negative x-axis?
b) For additional practice: What is the magnitude of the net force? (Not in video; see written solution)
Conductors, Insulators and Induced Charges
Consider two spheres; they are either positively charged, negatively charged, or neutral.
a) What can you say about the charge on the two spheres if they are electrically attracted to each other?
(NB: In the video, I give one possible case - what are the other possible cases? See written solution!)
Kinematic equations with a charge
An electron is shot at an initial speed of 3.00 × 106 m/s, perpendicular to a uniform electric field, as shown below. Electrons hits the right plate at vertical distance 6.00 cm.
a) If the electron was 4.00 cm away from this plate initially, calculate the magnitude of the electric field.
b) What is the direction?