A small $12\mathrm{.}4g$ plastic ball is tied to a very light $26\mathrm{.}2cm$ string that is attached to the vertical wall of a room. $($See the figure $($ Figure $1).)$ A uniform horizontal electric field exists in this room. When the ball has been given an excess charge of $-1\mathrm{.}50C,$ you observe that it remains suspended, with the string making an angle of $17\mathrm{.}4$ with the wall.

Part A

Find the magnitude of the electric field in the room.

Express your answer in newtons per coulomb.

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Part B

Find the direction of the electric field in the room.

to the right

to the left

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