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mixer [17]
2 years ago
13

Energy in inductors: you need an inductor that will store 20 j of energy when a 3. 0-a current flows through it. what should be

its self-inductance?
Physics
1 answer:
Diano4ka-milaya [45]2 years ago
3 0

The self inductance can be calculated as 4.444 Henry.

The inductor will store energy = 20 joule,

current = 3 ampere.

<h3>What is Self inductance?</h3>

     The current carrying conductor which allows or opposes the change of flow of current is known as self-inductance. The rate of change of current can also be given through self inductance.

Formula can be given  for the energy in the inductor as,

                      E = 1 / 2 × L × I² joule.

where as,    E - Energy

                    L - Inductance

                    I - Current flowing through the coil.

The equation can be rearranged as,

                      L =  2 E/ I²

                         =  2 × 20 / 3²

                         =  40 / 9

Hence,           L =  4.4444 Henry

Learn more about energy in inductors,

brainly.com/question/28030901

#SPJ4

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3 years ago
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3 years ago
Three tiny charged metal balls are arranged on a straight line. The middle ball is positively charged and the two outside balls
Dmitrij [34]

Answer:

(a) 189.23 N, (b) 47.31 N and (c) 141.92 N.

Explanation:

Three balls are shown in figure having charge q=1.45 \mu C. The middle ball, B, is positively charged having charge +q, and the remaining two outside balls, A and C, are negatively charged having charged -q as shown.

AC=20 cm and AB=BC=10 cm as B is the mid-point of AC.

Let d_1=AC=20\times 10^{-3}m and d_2=AB=BC=10\times 10^{-3}m

From Coulomb's law, the magnitude of the force, F, between two point charges having magnitudes q_1 \& q_2, separated by distance, d, is

F=\frac {1}{4\pi\epsilon_0}\frac {q_1q_2}{d^2}\;\cdots (i)

where, \epsilon_0 is the permittivity of free space and

\frac {1}{4\pi\epsilon_0}=9\times 10^9 in SI units.

This force is repulsive for the same nature of charges and attractive for the different nature of charges.

Now, Using equations(i),

(a) The magnitude of attraction force between balls A and B is

F_{AB}=F_{BC}= \frac {1}{4\pi\epsilon_0}\frac {qq}{(d_2)^2}

\Rightarrow F_{AB}= 9\times 10^9}\frac {1.45\times 10^{-6}\times1.45\times 10^{-6}}{\left(10\times 10^{-3}\right)^2}

\Rightarrow F_{AB}=189.23 N

(a) The magnitude of the repulsive force between balls A and C is

F_{AC}= \frac {1}{4\pi\epsilon_0}\frac {qq}{(d_1)^2}

\Rightarrow F_{AC}= 9\times 10^9}\frac {1.45\times 10^{-6}\times1.45\times 10^{-6}}{\left(20\times 10^{-3}\right)^2}

\Rightarrow F_{AC}=47.31 N

(c) The magnitude of the net force, F_{net}, on the outside of the ball is,

F_{net}=189.23-47.31 N

\Rightarrow F_{net}=141.92 N

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