# A charge of #3 C# is at the origin. How much energy would be applied to or released from a # -4 C# charge if it is moved from # ( 8, 2 ) # to #(9 , 6 ) #?

The energy released is

Potential energy is

The separation

The separation

Consequently,

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The electric potential energy ((U)) between two charges is given by:

[ U = \frac{k \cdot |q_1 \cdot q_2|}{r} ]

where: ( k ) is Coulomb's constant ((8.99 \times 10^9 , \text{N}\cdot\text{m}^2/\text{C}^2)), ( q_1 ) and ( q_2 ) are the charges, ( r ) is the separation between the charges.

Substitute the values:

[ U = \frac{(8.99 \times 10^9 , \text{N}\cdot\text{m}^2/\text{C}^2) \cdot |3 , \text{C} \cdot (-4 , \text{C})|}{\sqrt{(9-8)^2 + (6-2)^2}} ]

Calculate the expression to find the energy applied or released.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- If a current of #8 A# passing through a circuit generates #32 W# of power, what is the resistance of the circuit?
- A charge of #54 C# passes through a circuit every #6 s#. If the circuit can generate #18 W# of power, what is the circuit's resistance?
- A charge of #6 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #33 J# to #12 J#, what is the voltage between points A and B?
- What is the force, in terms of Coulomb's constant, between two electrical charges of #6 C# and #-6 C# that are #12 m # apart?
- A charge of #-1 C# is at the origin. How much energy would be applied to or released from a # 3 C# charge if it is moved from # (-5 ,1 ) # to #(5 ,-6 ) #?

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