What is the electric flux through a closed surface surrounding a charge of -3Q?
Practice Questions
1 question
Q1
What is the electric flux through a closed surface surrounding a charge of -3Q?
-3Q/ε₀
3Q/ε₀
0
-6Q/ε₀
According to Gauss's law, the electric flux through a closed surface is Φ = Q_enc/ε₀. Here, Q_enc = -3Q, so Φ = -3Q/ε₀.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the electric flux through a closed surface surrounding a charge of -3Q?
Solution: According to Gauss's law, the electric flux through a closed surface is Φ = Q_enc/ε₀. Here, Q_enc = -3Q, so Φ = -3Q/ε₀.
Steps: 6
Step 1: Understand that we are looking for the electric flux through a closed surface.
Step 2: Recall Gauss's law, which states that the electric flux (Φ) through a closed surface is equal to the enclosed charge (Q_enc) divided by the permittivity of free space (ε₀).
Step 3: Identify the enclosed charge in this case, which is given as -3Q.
Step 4: Substitute the value of Q_enc into the formula: Φ = Q_enc/ε₀.
Step 5: Replace Q_enc with -3Q in the formula: Φ = -3Q/ε₀.
Step 6: Conclude that the electric flux through the closed surface is Φ = -3Q/ε₀.
