Question

7. An ideal solenoid has a radius of 2.00 cm, turns per unit length of 12.0 turns/cm, and carries a current of 0.125 mA. At an instant in time, an electron in the interior of the 2.00 cm 0.500 cm coil, 0.500 cm from the center of the coil, has a velocity directed into the page as shown. The figure shows a cross-section of the coil, with the dashed line indicating the center of the coil, and current directed into the page at the top of the coil, and out of the page at the bottom of the coil. For clarity, the rest of the coil has been omitted. (a) What is the magnitude of the magnetic field at the position of the electron? (3 pts) $B = \frac{\mu_0 n I}{2}$ $B = \frac{\mu_0 n I}{2} \frac{r}{(0.05)}$ (b) What is the direction of the magnetic field at the position of the electron? (1 pt) Cw, to Left. (c) What is the direction of the force exerted on the electron by the magnetic field? (2 pts) down, at that location. (d) Qualitatively describe the subsequent path of the electron. (2 pts) helix Determine the radius of this path. ($m_e = 9.11 \times 10^{-31}$ kg) (5 pts) $\frac{mv}{qB}$

          7.
An ideal solenoid has a radius
of 2.00 cm, turns per unit
length of 12.0 turns/cm, and
carries a current of 0.125 mA.
At an instant in time, an
electron in the interior of the
2.00 cm
0.500 cm
coil, 0.500 cm from the center of the coil, has a velocity directed into the page as shown.
The figure shows a cross-section of the coil, with the dashed
line indicating the center of the coil, and current directed into the page at the top of the
coil, and out of the page at the bottom of the coil. For clarity, the rest of the coil has been
omitted.
(a) What is the magnitude of the magnetic field at the position of the electron? (3 pts)
$B = \frac{\mu_0 n I}{2}$
$B = \frac{\mu_0 n I}{2} \frac{r}{(0.05)}$
(b) What is the direction of the magnetic field at the position of the electron? (1 pt)
Cw, to Left.
(c) What is the direction of the force exerted on the electron by the magnetic field? (2 pts)
down, at that location.
(d) Qualitatively describe the subsequent path of the electron. (2 pts)
helix
Determine the radius of this path. ($m_e = 9.11 \times 10^{-31}$ kg) (5 pts)
$\frac{mv}{qB}$

7.
An ideal solenoid has a radius
of 2.00 cm, turns per unit
length of 12.0 turns/cm, and
carries a current of 0.125 mA.
At an instant in time, an
electron in the interior of the
2.00 cm
0.500 cm
coil, 0.500 cm from the center of the coil, has a velocity directed into the page as shown.
The figure shows a cross-section of the coil, with the dashed
line indicating the center of the coil, and current directed into the page at the top of the
coil, and out of the page at the bottom of the coil. For clarity, the rest of the coil has been
omitted.
(a) What is the magnitude of the magnetic field at the position of the electron? (3 pts)
B = (μ0 n I)/(2)
B = (μ0 n I)/(2)(r)/((0.05))
(b) What is the direction of the magnetic field at the position of the electron? (1 pt)
Cw, to Left.
(c) What is the direction of the force exerted on the electron by the magnetic field? (2 pts)
down, at that location.
(d) Qualitatively describe the subsequent path of the electron. (2 pts)
helix
Determine the radius of this path. (me = 9.11 × 10^-31 kg) (5 pts)
(mv)/(qB)

Added by Inmaculada F.

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