Question

two insulating charge copper sphere A and B have their centred​

Answer 1

Answer:

• Force = 0.1521 N

Given Information:

• Distance of Separation = 50 cm = 0.5 m
• Charge on each sphere = 6.5 × 10⁻⁷ C

To find:

• Force of Electrostatic Repulsion

Steps:

$\boxed{\text{Electrostatic Force} = \dfrac{k q_1q_2}{r^2}}$

where,

'q1' and 'q2' are the charges on each sphere, 'r' is the separation distance and 'k' is Coulomb constant which has a value 9 × 10⁹ units.

Substituting the values we get:

$\implies Force = \dfrac{ 9 \times 10^9 \times 6.5 \times 10^{-7} \times 6.5 \times 10^{-7}}{ (0.5)^2}\\\\\\\implies Force = \dfrac{ 9 \times 6.5 \times 6.5 \times 10^{(9 - 7 - 7)}}{0.25}\\\\\\\implies Force = \dfrac{ 380.25 \times 10^{-5}}{0.25}\\\\\\\implies Force = 1521 \times 10^{-5} = \boxed{ 0.1521\: N}$

Hence the force of electrostatic repulsion is 0.1521 N.

Answer 2

Required answer -

Question -

⚕ Two insulating charge copper sphere A and B have their centred separated by 50 cm. It is the mautual electrostatic repulsion if the on each is 6.5 × 10-⁷C. Find force.

Given that -

⚕ Separation distance = 50 cm or 0.5 m

⚕ Charges on each copper sphere = 6.5 × 10-⁷C

To find -

⚕ Force of the electrostatic repulsion

Solution -

⚕ Force of the electrostatic repulsion = 0.1521N

Using concept -

⚕ Formula to find electrostatic repulsion

Using formula -

$\: \: \:{\boxed{\boxed{\sf{\longrightarrow Electrostatic \: repulsion \: = \dfrac{kq_{1}q_{2}}{ {r}^{2}}}}}}$

Where,

⚕ k denotes colounb constant whose value is 9 × 10⁹ units.

⚕ q₁ and q₂ denotes the charges of the spheres.

⚕ r denotes distance of separation.

Now let's put the values according to the formula,

$\: \: \: \:{\sf{\longmapsto Electrostatic \: repulsion \: = \dfrac{kq_{1}q_{2}}{ {r}^{2}}}}$

${\sf{\longmapsto Force \: = \dfrac{9 \times {10}^{9} \times 6.5 \times {10}^{ - 7} \times 6.5 \times {10}^{ - 7}}{0.25}}}$

$\: \: \: \:{\sf{\longmapsto Force \: = \dfrac{9 \times 6.5 \times 6.5 \times 10^{(9 - 7 - 7)}}{0.25}}}$

${\sf{\longmapsto Force \: = \dfrac{380.25 \times 10^{-5}}{0.25}}}$

$\: \: \: \:{\sf{\longmapsto Force \: = 1521 \times 10^{-5}}}$

${\sf{\longmapsto Force \: = 0.1521N}}$

More knowledge -

⚔ Physics ⚔

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Kinetic \: energy \: is \: given \: by \: \dfrac{1}{2}mv^{2}}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Value \: of \: G \: is \: 6.673 \times 10^{-11}Nm^{2}kg{-3}}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Dimensional \: formula \: for \: universal \: gravitational \: constant \: is \: M^{-1} L^{3} T^{-2}}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto The \: unit \: of \: force \: constant \: k \: of \: a \: spring \: is \: \dfrac{N}{m}}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Sir \: Cavendish \: was \: the \: first \: to \: gave \: value \: of \: G \: experimentally}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Number \: of \: SI \: units \: are \: 7}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Ampere \: is \: the \: unit \: of \: current \: electricity}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto SI \: unit \: of \: Young's \: modulus \: of \: elasticity \: is \: Newton/m^{2}}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto SI \: unit \: of \: pressure \: is \: Pascal}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Curie \: is \: the \: unit \: of \: radio \: activity}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Decibel \: is \: the \: unit \: of \: intensity \: of \: sound}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto SI \: unit \: of \: electric \: charge \: is \: coulomb}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto SI \: unit \: of \: resistance \: is \: ohm}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto SI \: unit \: of \: acceleration \: is \: ms^{-2}}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Maxwell \: is \: unit \: of \: magnetic \: flux}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto SI \: unit \: of \: magnetic \: flux \: is \: Weber}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto SI \: unit \: of \: surface \: tension \: is \: \dfrac{N}{m}}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto SI \: unit \: of \: mechanical \: power \: is \: Watt}}}$

Law of Exponents -

$\begin{gathered}\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\tt\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\tt{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\tt(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\tt\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\tt\sqrt[\tt n]{\tt a} = (a)^{\dfrac{1}{n}}\end{minipage}}\end{gathered}$