Question

calculate the electric field between two metal plates 3mm apart connected to a 3V battery​

Answer 1

Given

→ Voltage = 3 V

→ Distance = 3 mm

To Find

→ Electric field

Solution

We know that

$\sf \longrightarrow E=\dfrac{V}{d}$

Here

• E = Electric field
• V = Voltage
• d = Distance

Units

• E = Voltage per metre (V/m)
• V = Volt (V)
• d = metre (m)

According to the question

We are asked to find electric field

Therefore

We must find "E"

Given that

→ Voltage = 3 V

→ Distance = 3 mm

Hence

• V = 3 V
• d = 3 mm = 3 × 10⁻³ m

Substituting the values

We get

$\sf \longrightarrow E=\dfrac{3}{3 \times 10^{-3}} \ V/m$

$\sf \longrightarrow E=\dfrac{1}{10^{-3}} \ V/m$

$\sf \longrightarrow E= 10^{3} \ V/m$

Therefore

$\sf \longrightarrow E=1000 \ V/m$

Hence

Electric field = 1000 V/m

Answer 2

Answer:

Given :-

• A two metal plates 3 mm apart connected to a 3 V battery.

To Find :-

• What is the electric field between two metal.

Formula Used :-

To find electric field we know that,

$\boxed{\bold{\large{Electric\: Field\: =\: \dfrac{Voltage}{Distance}}}}$

Solution :-

Given :-

• Voltage = 3 V
• Distance = 3 mm = $3 \times {10}^{-3}$ m

According to the question by using the formula we get,

⇒ Electric field = $\dfrac{3}{3 \times {10}^{-3}}$ Volts/m

⇒ Electric field = $\dfrac{1}{{10}^{-3}}$ Volts/m

⇒ Electric field = ${10}^{3}$ Volts/m

⇒ Electric field = 10 × 10 × 10 Volts/m

➠ Electric field = 1000 Volts/m

$\therefore$ The electric field between two metal is 1000 Volts/m .