A small, 0.60 -g ball in air carries a charge of magnitude 8.0 μC. It is suspended by a vertical

step 1 Hi, in the first part of this given problem there is an electric field vertically downward. Don'

A small, 0.60 -g ball in air carries a charge of magnitude...

A small, $0.60$ -g ball in air carries a charge of magnitude $8.0 \mu \mathrm{C}$. It is suspended by a vertical thread in a downward $300 \mathrm{~N} / \mathrm{C}$ electric field. What is the tension in the thread if the charge on the ball is
(a) positive, (b) negative?

Key Concepts

Electric Force on a Charge

This concept refers to the force experienced by a charged object in the presence of an electric field. The force is calculated as the product of the charge and the electric field strength (F = qE), and its direction depends on the sign of the charge relative to the direction of the electric field. This concept is fundamental in understanding how charged particles behave in fields and is central to the dynamics in problems involving static or uniform fields.

Gravitational Force

Gravitational force is the force of attraction exerted by the Earth on any mass near its surface, calculated as the product of mass and gravitational acceleration (F = mg). This force always acts downward and is a crucial factor in problems involving vertical equilibrium, where it must be counterbalanced by other forces to maintain a state of rest.

Equilibrium of Forces

Equilibrium in a static system occurs when the net force acting on an object is zero, meaning all forces balance each other perfectly. In such cases, an object remains at rest or moves with constant velocity. This concept is pivotal for solving problems where multiple forces, including electric and gravitational forces, interact and are balanced by a reaction force such as tension.

Tension in a String

Tension refers to the pulling force transmitted along a string, rope, or thread when it supports a load, counteracting other forces to maintain equilibrium. In problems where a charged object is suspended, the tension in the string provides the necessary upward force to balance both the gravitational pull and any additional forces, such as the electric force resulting from the presence of an electric field.

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