Within the green dashed circle shown in the figure below, the magnetic field changes with time according to the expression B = 6.00t3 - 3.002² + 0.800, where B is in teslas, t is in seconds, and R = 2.85 cm. X x x X x * x x x x2 x x x x7x x : P | x x x 6** * R x x x x * x x x x × x x x x x x Bin (a) When t = 2.00 s, calculate the magnitude of the force exerted on an electron located at point P,, which is at a distance r, = 5.70 cm from the center of the circular field region. (b) When t = 2.00 s, calculate the direction of the force exerted on an electron located at point P,, which is at a distance r, = 5.70 cm from the center of the circular field region. O tangent to the electric field line passing through point P, and clockwise O tangent to the electric field line passing through point P, and counterclockwise O The magnitude is zero. (Cc) At what instant is this force equal to zero? (Consider the time after t = 0 s.) X x x X

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When creating educational content for a website, it's important to clearly provide both the transcription of the given text and explanations for any related diagrams or graphs.

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**Magnetic Field Problem Description**

Within the green dashed circle shown in the figure below, the magnetic field changes with time according to the expression:

\[ B = 6.00t^3 - 3.00t^2 + 0.800, \]

where \( B \) is in teslas, \( t \) is in seconds, and \( R = 2.85 \) cm.

**Diagram Description:**

- The diagram features a green dashed circle representing the circular field region with radius \( R \).
- Point \( P_1 \) is a specific location marked outside the dashed circle, at a distance \( r_1 = 5.70 \) cm from the center.
- Points \( P_2 \) and inside arrows indicate the direction of the magnetic field (\( \mathbf{B_{\text{in}}} \)) at different locations within the circle.

**Questions:**

(a) **When \( t = 2.00 \) s, calculate the magnitude of the force exerted on an electron located at point \( P_1 \), which is at a distance \( r_1 = 5.70 \) cm from the center of the circular field region.**

\[ \text{Force:} \quad \_\_\_ \text{ N} \]

(b) **When \( t = 2.00 \) s, calculate the direction of the force exerted on an electron located at point \( P_1 \), which is at a distance \( r_1 = 5.70 \) cm from the center of the circular field region.**

- [ ] Tangent to the electric field line passing through point \( P_1 \) and clockwise
- [ ] Tangent to the electric field line passing through point \( P_1 \) and counterclockwise
- [ ] The magnitude is zero

(c) **At what instant is this force equal to zero? (Consider the time after \( t = 0 \) s.)**

\[ \text{Time:} \quad \_\_\_ \text{ s} \]

---

In this educational task, the user is asked to calculate forces and directions using given values, enhancing understanding of magnetic fields and forces on electrons. The diagram complements this by providing
Transcribed Image Text:When creating educational content for a website, it's important to clearly provide both the transcription of the given text and explanations for any related diagrams or graphs. --- **Magnetic Field Problem Description** Within the green dashed circle shown in the figure below, the magnetic field changes with time according to the expression: \[ B = 6.00t^3 - 3.00t^2 + 0.800, \] where \( B \) is in teslas, \( t \) is in seconds, and \( R = 2.85 \) cm. **Diagram Description:** - The diagram features a green dashed circle representing the circular field region with radius \( R \). - Point \( P_1 \) is a specific location marked outside the dashed circle, at a distance \( r_1 = 5.70 \) cm from the center. - Points \( P_2 \) and inside arrows indicate the direction of the magnetic field (\( \mathbf{B_{\text{in}}} \)) at different locations within the circle. **Questions:** (a) **When \( t = 2.00 \) s, calculate the magnitude of the force exerted on an electron located at point \( P_1 \), which is at a distance \( r_1 = 5.70 \) cm from the center of the circular field region.** \[ \text{Force:} \quad \_\_\_ \text{ N} \] (b) **When \( t = 2.00 \) s, calculate the direction of the force exerted on an electron located at point \( P_1 \), which is at a distance \( r_1 = 5.70 \) cm from the center of the circular field region.** - [ ] Tangent to the electric field line passing through point \( P_1 \) and clockwise - [ ] Tangent to the electric field line passing through point \( P_1 \) and counterclockwise - [ ] The magnitude is zero (c) **At what instant is this force equal to zero? (Consider the time after \( t = 0 \) s.)** \[ \text{Time:} \quad \_\_\_ \text{ s} \] --- In this educational task, the user is asked to calculate forces and directions using given values, enhancing understanding of magnetic fields and forces on electrons. The diagram complements this by providing
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