Electric Field Strength and Potential

In summary, the conversation discusses the question of determining the distance at which the rate of change of electric field strength is maximum. The question is related to Fig. 4.2 and the concept of electric potential gradient. While the person suggests that the maximum electric field strength would occur at 1.4 cm, the marking scheme disagrees and gives a different answer of 11.4 cm. It is clarified that the magnitude of the rate of change is what is important, rather than its sign.
  • #1
elemis
163
1
Page 10 part (b) (ii) <click on the link

Now, the question states :

Use Fig. 4.2 to state and explain the distance x at which the rate of change of
potential with distance
is maximum

Now electric field strength = negative potential gradient

So in effect they're asking for the point at which electric field strength is maximum, correct ?

Now isn't maximum electric field strength at 1.4 cm because electric field strength has the greatest value at that point ?

The marking scheme provided disagrees and gives an answer of 11.4 cm...

But at 11.4 cm the electric field strength is highly negative...
 
Last edited:
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  • #2
Rate of change can be positive or negative. It's the magnitude of the rate of change that counts, not it's sign.
 

Related to Electric Field Strength and Potential

1. What is Electric Field Strength?

Electric field strength is a measure of the strength of an electric field at a particular point in space. It is defined as the force per unit charge that a small positive test charge would experience if placed at that point in the field.

2. How is Electric Field Strength calculated?

Electric field strength is calculated by dividing the force acting on a test charge by the magnitude of the test charge. Mathematically, it can be represented as E = F/q, where E is the electric field strength, F is the force, and q is the test charge.

3. What are the units of Electric Field Strength?

The SI unit for electric field strength is newtons per coulomb (N/C). However, it can also be expressed in volts per meter (V/m) or electron volts per meter (eV/m).

4. What is Electric Potential?

Electric potential is a measure of the electric potential energy per unit charge at a particular point in space. It is defined as the work done per unit charge in bringing a small positive test charge from infinity to that point in the electric field.

5. How is Electric Potential related to Electric Field Strength?

Electric potential and electric field strength are related by the equation E = -∇V, where E is the electric field strength, V is the electric potential, and ∇ is the gradient operator. This means that the electric field strength is the negative gradient of the electric potential. In other words, the direction of the electric field is always towards decreasing potential.

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