Question

In: Physics

Ignore the other questions in answering this one. If the magnetic field is 0.00546 T, the...

Ignore the other questions in answering this one. If the magnetic field is 0.00546 T, the accelerating voltage 150.7 V, and the radius of the electron orbit 0.750 cm, what is e/m from Equation 5?

Solutions

Expert Solution

The kinetic energy (KE) of an accelerated electron will be equal to the energy gained by as a result of being accelerated through a potential difference (V).

where,

m is the mass of the electron

v is the velocity of the electron

e is the charge of an electron

V is the accelerating potential

If this electrons enters into a region where the magnetic field vector is acting perpendicular to the magnetic field (B), the magnetic force (F). The magnetic force in this condition is given by

This force experienced will be utilized for centripetal acceleration and hence the electron will inscribe a circular path of radius (r).

From the above equation,

Equating (1) and (2), we get,

Taking square on both sides,

Given,

V = 150.7 V

B = 0.00546 T

r = 0.750 cm = 0.750 x10-2m

= 1.7973 x 1011 C/kg (Ans.)

genius_generous answered 2 years ago

Next > < Previous

Related Solutions

These questions refer to the expression for the magnetic field at the center of the square...

These questions refer to the expression for the magnetic field at the center of the square solenoid. Assume: for all coils, each side of the square a = 4.87 cm and the length of the solenoid L = 47.8 cm. NOTE: Everything must be in MKS units! NOTE: μo = 1.26x10-6 in MKS units (determined in question 1). a) In procedure 1, you will plot Bmax vs. N, the number of turns of the coil. Suppose you set the current...

a) In the middle of a coil, the magnetic field induction is B0 = 0.5 T....

a) In the middle of a coil, the magnetic field induction is B0 = 0.5 T. Determine the magnetic field induction B along the axis of the coil at its edge. b) In the middle of a capacitor, the electric field intensity is E0 = 1000 V/m. Determine the electric field intensity E between the capacitor plates at the capacitor edge

A magnetic field has a magnitude of 1.2e-3 T, and an electric field has a magnitude...

A magnetic field has a magnitude of 1.2e-3 T, and an electric field has a magnitude of 5.1e3 N/C. Both fields point in the same direction. A positive -1.8 microC moves at a speed of 3.5e6 m/s in a direction that is perpendicular to both fields. Determine the magnitude of the net force that acts on the charge.

A magnetic field of 37.2 T has been achieved at the MIT Francis Bitter National Magnetic...

A magnetic field of 37.2 T has been achieved at the MIT Francis Bitter National Magnetic Laboratory. Find the current needed to achieve such a field a) 2.00 cm from a long straight wire b) At the centre of a circular coil of radius 42.0 cm that has 100 turns c) Near the center of a solenoid with radius 2.40 cm, length 32.0 cm and 40000 turns

The magnetic flux through a 10.0-cm2cm2 loop is 8.0 T⋅cm2T⋅cm2, and the magnetic field at the...

The magnetic flux through a 10.0-cm2cm2 loop is 8.0 T⋅cm2T⋅cm2, and the magnetic field at the location of the loop is uniform. Choose all correct answers. Check all that apply. A)If BB = 1.0 TT, then the angle between the B⃗ B→ field and the normal to the loop's surface is greater than 0∘∘. B)If the direction of B⃗ B→ field is parallel to the normal to the loop's surface, then BB = 0.8 T. C)The magnitude of the B⃗...

The loop in the figure below is being pushed into the 0.20 T magnetic field at...

The loop in the figure below is being pushed into the 0.20 T magnetic field at 50 m/s. The resistance of the loop is 0.10 , and its width d = 5.4 cm. What are the direction and the magnitude of the current in the loop? (in units of A) The loop in the figure below is being pushed into the 0.20 T magnetic field at 50 m/s. The resistance of the loop is 0.10 , and its width d...

A circular loop in the plane of the paper lies in a 0.78 T magnetic field...

A circular loop in the plane of the paper lies in a 0.78 T magnetic field pointing into the paper. A) If the loop's diameter changes from 16.6 cm to 6.4 cm in 0.63 s , what is the direction of the induced current? Clockwise or Counterclockwise? B) What is the magnitude of the average induced emf? Answer in V. C) If the coil resistance is 4.3 ohm , what is the average induced current? Answer in A

A generator rotates at 93 Hz in a magnetic field of 0.035 T . It has...

A generator rotates at 93 Hz in a magnetic field of 0.035 T . It has 650 turns and produces an rms voltage of 140 V and an rms current of 55.0 A . Part A What is the peak current produced? Express your answer to three significant figures and include the appropriate units. Part B What is the area of each turn of the coil? Express your answer to two significant figures and include the appropriate units.

a.) Suppose that there is a constant magnetic field in the xy-plane with magnitude 0.5 T,...

a.) Suppose that there is a constant magnetic field in the xy-plane with magnitude 0.5 T, and a proton is moving with a speed of 3 × 10^5 m/s at a 45◦ angle relative to the field. What is the magnitude of the acceleration of the proton assuming it only experiences the force due to the magnetic field? b.) Inside of any microwave, there is a tube called a magnetron in which electrons orbit an approximately constant magnetic field. The...

The loop is in a magnetic field 0.22 T whose direction is perpendicular to the plane...

The loop is in a magnetic field 0.22 T whose direction is perpendicular to the plane of the loop. At t = 0, the loop has area A = 0.285 m2.Suppose the radius of the elastic loop increases at a constant rate, dr/dt = 3.45 cm/s . A) Determine the emf induced in the loop at t = 0 and at t = 1.00 s . Express your answer using two sifnificant figures E(0) = mV B) Express your answer...

Subjects