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A hollow non-conducting spherical shell has inner radius R, = 6 cm and
outer radius R, = 12 cm. A charge O = -35 nC lies at the center of the shell. The shell carries a
spherically symmetric charge density p = Ar for R1 <p<R2 that increases linearly with radius,
where A = 19 µC/m*.
R2
Part (a) Write an equation for the radial electric field in the region r < R, in terms of Q, r, and Coulomb's constant k. You may take the positive
direction as outward.
E, <R, = k Qr
V Correct!
Part (b) What is the radial electric field at the point r = 0.5R, ? Given your answer in units of kN/C, and take the positive direction outwards.
E(0.5R) = - 350
E(0.5R1) = -350 Correct!
Part (c) What is the radial electric field at the point r = 0.5(R,+R2)? Give your answer in units of kN/C.
E(0.5(R,+R2)) =
sin()
cos()
tan)
8
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cotan()
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atan()
acotan()
sinh()
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tanh()
O Degrees O Radians
cosh()
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vol BACKSPACE DEL CLEAR
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Part (d) What is the radial electric field at the point r = 2R2? Give your answer in units of kN/C.

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