Question

8. Three resistances x1, X2, and x3 are connected in a circuit in different ways. x is the effective resistance. The properties observed for these different ways of connecting x1, X2 and x3 are given below. Write the way in which they are connected in each case. (I-current, V-potential difference, X-effective resistance)

a. Current I flows through x1, x2 and x3

b. x is larger than x1, x2, and x3

c. x is smaller than x1, X2 and x3

d. The potential difference across X1, X2
and x3 is the same

e. x = x1 + x2 + x3

f. x = 1/(1/x1 + 1/X2 + 1/x3)​

Answer 1

Explanation:

8. Three resistances x1, X2, and x3 are connected in a circuit in different ways. x is the effective resistance. The properties observed for these different ways of connecting x1, X2 and x3 are given below. Write the way in which they are connected in each case. (I-current, V-potential difference, X-effective resistance)

a. Current I flows through x1, x2 and x3

b. x is larger than x1, x2, and x3

c. x is smaller than x1, X2 and x3

d. The potential difference across X1, X2

and x3 is the same

e. x = x1 + x2 + x3

f. x = 1/(1/x1 + 1/X2 + 1/x3)

Answer 2

Answer:

Explanation:

a. Current I flows through x₁, x₂ and x₃: In such case, the resistances are connected in parallel because when circuit elements are connected in parallel, then the magnitude of the current passing through each circuit element is same.

b. x is larger than x₁, x₂ and x₃ :  In such case, the resistances must be connected in series because when the circuit elements are connected in series, then the magnitude of effective resistance is greater than the individual resistances.

c. x is smaller than x₁, x₂ and x₃:  In such case, the resistances are connected in parallel because the when the circuit elements are connected in parallel, then the magnitude of effective resistance is less than the individual resistances.

d. The potential difference across x₁, x₂ and x₃ is the same:  In such case, the resistances must be connected in series because only in series connection, the potential difference across each circuit element is same.

e. x = x₁ + x₂ + x₃: The resistances must be in series connection because this is the expression to calculate effective resistance in series connection.

f. x = 1/ 1/x₁+1/x₂+1/x₃: The resistances must be in parallel connection because this is the expression to calculate effective resistance in series connection.