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ivanzaharov
1 month ago
9

A rod 12.0 cm long is uniformly charged and has a total charge of -20.0 µc. determine the magnitude and direction of the electri

c field along the axis of the rod at a point 32.0 cm from its center.
Physics
2 answers:
Ostrovityanka [3.2K]1 month ago
7 0
<span>Let Q be the charge, thus Q = -20.0 µC.</span>
Define D as the distance between the center of the rod and the specified point. Therefore,
D=0.32 - 0.12 = 0.2 m
<span>L = 0.12 m, which represents the length of the rod
</span><span>To find the magnitude and direction of the electric field along the axis of the rod at a point 32.0 cm from its center, use the formula:
</span><span>E = K·Q/r²
</span>or<span>E = kQ/D(D+L), where k</span> is a constant equal to 8.99 x 10<span>9</span> N m
2/C2.<span>Consequently,[TAG_21]]E=(</span>8.99 x 109 N m2/C2.* (-20.0 µC))/(<span>0.2 m*0.32m)</span><span>

</span>
Ostrovityanka [3.2K]1 month ago
7 0

The equation for calculating the electric field resulting from a charged rod is:

E = k Q / [D (D + L)]

In this context,

E = electric field

k = Coulomb’s constant = 9 * 10^9 N m^2 / c^2

Q = total charge = -20.0 µc = -20.0 * 10^-6 c

L = length of rod = 12.0 cm = 0.12 m

D = distance from the center = 32.0 – 12.0 cm = 0.20 m

 

By substituting the known values into the formula:

E = (9 * 10^9 N m^2 / c^2) * (-20.0 * 10^-6 c) / [0.20 m (0.20 m + 0.12 m)]

E = -2,812,500 N

Since the value of E is negative, it indicates that E is directed toward the center of the rod.

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