Two points at the ends of any diameter will divide the resistor into two equal parts and so they are in parallel combinations as shown in figure

R₁=5\(\Omega \),R₂ = 5\(\Omega \)
\(\cfrac { 1 }{ { R }_{ P } } =\cfrac { 1 }{ { R }_{ 1 } } +\cfrac { 1 }{ { R }_{ 2 } } \)
\(=\cfrac { 1 }{ 5 } +\cfrac { 1 }{ 5 } =\cfrac { 2 }{ 5 } \)
\({ R }_{ P }=\cfrac { 5 }{ 2 } =2.5\Omega \)

In this circuit, the resistance of arm ABC
R₁ & R₂ is in series
R_S = R₁ + R₂
=30+30 = 60 \(\Omega \)
\(\cfrac { 1 }{ { R }_{ P } } =\cfrac { 1 }{ { R }_{ 3 } } +\cfrac { 1 }{ { R }_{ S } } \)
= \(=\cfrac { 1 }{ 30 } +\cfrac { 1 }{ 60 } \)
\(\cfrac { 1 }{ { R }_{ P } } =\cfrac { 2+1 }{ 60 } =\cfrac { 3 }{ 60 } \)
\({ R }_{ P }=\cfrac { 60 }{ 3 } =20\Omega \)
Current I  \(=\cfrac { V }{ { R }_{ P } } =\cfrac { 2 }{ 20 } =0.1A\)
I =0.1 A

Ground connection:
The metal bodies of all the electrical appliances are to be connected to the ground by means of a third wire apart from the two wires used for electrical connection.
Trip switch:
It is an electromechanical device which does not allow a current beyond a particular value by automatically switching off the connection.
Fuse:
A fuse is another safety mechanism which works on joule heating principle.

In a household electric circuit, different home appliances are connected in parallel to one another due to the following reasons:
(i) The appliances can be operated independently. If one appliance is switched off, others remain unaffected.
(ii) Each appliance gets the same constant voltage.
(iii) In parallel connection of electrical appliances, the overall resistance of the circuit is reduced due to which the current from the power supply is high.