Answer:

Given : R1 =10Ω R2=20Ω R3 =30Ω

Equivalent resistance of parallel combination

R eq1= R1 1+ R2 1+ R3 1

∴

R eq1= 10 1+ 20 1+ 30 1

⟹R eq

=5.45 Ω

Explanation:

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Answer:

The equivalent resistance in parallel and series combinations are [tex]\frac{60}{11}\Omega[/tex] and 60Ω respectively.

Explanation:

"The electric potential is defined as the amount of work done in bringing a unit positive charge from infinity to a particular point".

The resistance's given in the question are,

R₁=10Ω

R₂=20Ω

R₃=30Ω

(i) Parallel

The equivalent resistance in parallel combination is given as,

[tex]\frac{1}{R_P}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}[/tex]      (1)

[tex]R_P[/tex]=equivalent resistance in parallel combination

By substituting the value of R₁, R₂, and R₃ in equation (1) we get;

[tex]\frac{1}{R_P}=\frac{1}{10}+\frac{1}{20}+\frac{1}{30}[/tex]

[tex]\frac{1}{R_P}=\frac{6+3+2}{60}[/tex]

[tex]R_P=\frac{60}{11} \Omega[/tex]        (2)

(ii) Series

The equivalent resistance in series combination is given as,

[tex]R_S=R_1+R_2+R_3[/tex]    (3)

[tex]R_S[/tex]=equivalent resistance in series combination

By substituting the value of R₁, R₂, and R₃ in equation (1) we get;

[tex]R_S=10+20+30=60\Omega[/tex]

Hence, the equivalent resistance in parallel and series combinations are [tex]\frac{60}{11}\Omega[/tex] and 60Ω respectively.

Your question is incomplete, but most probably your full question was"Write the definition and unit of electric potential? If 10ohm, 20-ohm, and 30-ohm resistors are added in (i) parallel (ii) Series. Calculate the equivalent​ resistance in both the case."