If A 0.10 g plastic bead is charged by the addition of 1.0 ×10^10 excess electrons. What electr

step 1 So here, the gravitational force MG will be acting downward. The electric field in this directio

If A 0.10 g plastic bead is charged by the addition of 1.0...

If $\mathrm{A} 0.10 \mathrm{~g}$ plastic bead is charged by the addition of $1.0 \times 10^{10}$ excess electrons. What electric field $\vec{E}$ (strength and direction) will cause the bead to hang saspended in the air?

Key Concepts

Force Equilibrium

Force equilibrium refers to the condition in which the net force acting on an object is zero. For the charged bead to hang suspended, the upward electric force must balance the downward gravitational force. Setting these forces equal allows one to solve for the required electric field strength and its appropriate direction.

Electric Force and Field

The electric force on a charged object in an electric field is given by the product of the object's charge and the electric field strength. This force can act upward or downward depending on the sign of the charge and the direction of the electric field. For the bead to remain stationary, the electric force must exactly counteract the gravitational force.

Gravitational Force

Gravitational force is the force exerted on the bead due to its mass and the acceleration due to gravity. This force acts downward, and its magnitude is calculated by multiplying the mass of the bead by the gravitational acceleration. This force must be balanced by the electric force to achieve suspension.

Charge Quantification

Charge quantification involves determining the net electric charge on an object by counting the number of excess charge carriers (electrons or protons) and multiplying by the elementary charge. In this context, knowing that each electron contributes a specific quantity of negative charge allows one to compute the total charge on the bead.

Please give Ace some feedback