Partikel A dan B masing-masing bermuatan +8 mu C dan +18 mu C. Titik C terletak di antara partike...

Summary

In this video, the presenter discusses an electric field problem involving two charged particles, A and B, with charges of 8 microcoulombs and 18 microcoulombs, respectively. The point C is located between them, 2 cm from particle A, where the total electric field is zero. By applying the formula for electric fields and equating the fields from particles A and B, the presenter derives the distance between the two particles as 5 cm. The explanation emphasizes the importance of understanding electric fields and offers a clear step-by-step breakdown of the problem-solving process.

Takeaways

• 🔌 Two particles, A and B, have electric charges of 8 microcoulombs and 18 microcoulombs, respectively.
• 📏 Point C is located between particles A and B, 2 cm from particle A.
• ⚡ The electric field at point C is determined to be zero.
• 📐 The distance from point C to particle B is denoted as 'x'.
• 🔍 The formula for electric field strength (E) is given as E = k * q / r².
• ⚖️ To find equilibrium at point C, the electric fields due to particles A and B must be equal: E_A = E_B.
• ✏️ The equation simplifies to 8 / 4 = 18 / x² after canceling constants.
• 🧮 Rearranging the equation gives x² = (18 * 4) / 8, leading to x² = 9.
• 📊 The positive value of x is calculated as 3 cm.
• 📏 The total distance between particles A and B is thus 3 cm (from C to B) + 2 cm (from A to C), equaling 5 cm.

Q & A

What are the charges of particles A and B?

Particle A has a charge of 8 microcoulombs (μC) and particle B has a charge of 18 microcoulombs (μC).

How far is point C from particle A?

Point C is located 2 centimeters (cm) away from particle A.

What is the relationship between the electric fields at point C from particles A and B?

At point C, the electric field from particle A is equal to the electric field from particle B, resulting in a total electric field of zero.

What formula is used to calculate the electric field due to a point charge?

The electric field (E) due to a point charge (Q) is calculated using the formula E = kQ/r², where k is Coulomb's constant and r is the distance from the charge.

What steps are taken to find the distance between particles A and B?

The problem sets up the equation E_A = E_B, simplifies it by canceling constants, and then solves for the distance from C to B, ultimately adding the distances from A to C and C to B.

What value does 'x' represent in the problem?

'x' represents the distance from point C to particle B.

What is the final calculated distance from point C to particle B?

The final calculated distance from point C to particle B is 3 centimeters (cm).

How do you find the total distance between particles A and B?

The total distance between particles A and B is found by adding the distance from A to C (2 cm) and the distance from C to B (3 cm), resulting in a total distance of 5 cm.

Why is the negative root not considered when solving for 'x'?

The negative root is not considered because distance cannot be negative; only the positive value is physically meaningful in this context.

What conclusion can be drawn from the electric field being zero at point C?

The conclusion is that the forces exerted by the two charged particles on a test charge at point C are balanced, resulting in no net electric field at that point.