# A charge of #7 C# is at the origin. How much energy would be applied to or released from a # 5 C# charge if it is moved from # (6, 18 ) # to #(-5 ,-2 ) #?

The energy applied to is

Potential energy is

The separation

The separation

Consequently,

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The change in electric potential energy between two charges is given by the formula:

ΔU = k * |q1 * q2| * (1/r2 - 1/r1)

Where: ΔU = change in electric potential energy k = Coulomb's constant (8.9875 × 10^9 N m^2/C^2) q1, q2 = charges of the two objects (in Coulombs) r1, r2 = initial and final distances between the charges (in meters)

Given: q1 = 7 C q2 = 5 C r1 = √((6-0)^2 + (18-0)^2) = √(6^2 + 18^2) = √(36 + 324) = √360 ≈ 18.97 m r2 = √((-5-0)^2 + (-2-0)^2) = √((-5)^2 + (-2)^2) = √(25 + 4) = √29 ≈ 5.39 m

Substituting the values into the formula:

ΔU = (8.9875 × 10^9 N m^2/C^2) * |7 C * 5 C| * (1/5.39 - 1/18.97)

ΔU ≈ (8.9875 × 10^9) * (35) * (0.18557 - 0.05268)

ΔU ≈ (8.9875 * 35 * 0.13289) * 10^9 N m^2/C^2

ΔU ≈ 33.569 * 10^9 N m^2/C^2

ΔU ≈ 3.3569 * 10^10 N m^2/C^2

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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.

- A charge of #12 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #60 J# to #34 J#, what is the voltage between points A and B?
- Two charges of # -1 C # and # -8 C# are positioned on a line at points # 6 # and # -4 #, respectively. What is the net force on a charge of # -3 C# at # 1 #?
- A circuit with a resistance of #3 Omega# has a fuse with a capacity of #2 A#. Can a voltage of #1 V# be applied to the circuit without blowing the fuse?
- A charge of #5 C# is at #(-7, 1 )# and a charge of #-3 C# is at #(8, -3) #. If both coordinates are in meters, what is the force between the charges?
- How much power is produced if a voltage of #4 V# is applied to a circuit with a resistance of #6 Omega#?

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