3. (From OpenStax University Physics, Vol 2) A circular arc of radius r shown below carries a linear charge density 1 = 1, cos 0, where 1, is a constant and 0 is measured from the +x axis. Let 0, = 30° а. Find the magnitude and direction of the electric field at the origin due to the arc in terms of r, and any other constants. (Hint: Make use of symmetry here!) b. )) Find the total charge Q of the arc in terms of 2, and r. Express the electric field in part a in terms of Q and any other constants (but not 1o)| yA 0o

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3. (From OpenStax University Physics, Vol 2) A circular arc of radius r shown below carries a linear charge
2o cos 0, where A, is a constant and 0 is measured from the +x axis. Let 0, = 30°
density 2 =
a. Find the magnitude and direction of the electric field at the origin due to the arc in terms of 20,
r, and any other constants. (Hint: Make use of symmetry here!)
b.
Find the total charge Q of the arc in terms of 2, and r. Express the electric
field in part a in terms of Q and any other constants (but not 10).|
yA
Transcribed Image Text:3. (From OpenStax University Physics, Vol 2) A circular arc of radius r shown below carries a linear charge 2o cos 0, where A, is a constant and 0 is measured from the +x axis. Let 0, = 30° density 2 = a. Find the magnitude and direction of the electric field at the origin due to the arc in terms of 20, r, and any other constants. (Hint: Make use of symmetry here!) b. Find the total charge Q of the arc in terms of 2, and r. Express the electric field in part a in terms of Q and any other constants (but not 10).| yA
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