An electron has an initial velocity of (11.2 + 16.8 k) km/s, and a constant acceleration of (1.63 x 1012 m/s²) in the positive x direction in a region in which uniform electric and magnetic fields are present. If B= (365 μT)i find the electric field E. ! i+i ! !nkts N/C or V/m

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Chapter1: Units, Trigonometry. And Vectors
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An electron has an initial velocity of \( (11.2 \, \hat{j} + 16.8 \, \hat{k}) \, \text{km/s} \), and a constant acceleration of \( (1.63 \times 10^{12} \, \text{m/s}^2) \, \hat{i} \) in the positive x-direction in a region in which uniform electric and magnetic fields are present. If \( \mathbf{B} = (365 \, \mu\text{T}) \, \hat{i} \), find the electric field \( \mathbf{E} \).

[Answer fields provided for entering values for the components of \( \mathbf{E} \) in the \( \hat{i}, \hat{j}, \) and \( \hat{k} \) directions, with units of N/C or V/m.]
Transcribed Image Text:An electron has an initial velocity of \( (11.2 \, \hat{j} + 16.8 \, \hat{k}) \, \text{km/s} \), and a constant acceleration of \( (1.63 \times 10^{12} \, \text{m/s}^2) \, \hat{i} \) in the positive x-direction in a region in which uniform electric and magnetic fields are present. If \( \mathbf{B} = (365 \, \mu\text{T}) \, \hat{i} \), find the electric field \( \mathbf{E} \). [Answer fields provided for entering values for the components of \( \mathbf{E} \) in the \( \hat{i}, \hat{j}, \) and \( \hat{k} \) directions, with units of N/C or V/m.]
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