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 
and 
B. x is larger than 
and 
C. x is smaller than 
and 
D. The potential across 
and 
is the same
E. 
F. 
A. The same current flows through all the three conductors x1, x2 and x3. So, all the three must be connected in series.
Because in series connection, the current in all the wires is same.
B. Effective resistance X is larger than x1, x2 and x3 individually.
The only way in which this can be possible is if all the three conductors are connected in series.
In series combination of resistances,
Reffective = R1 + R2 + R3
Therefore, the effective resistance is greater than the resistances taken individually.
C. Effective resistance X is smaller than x1 , x2 and x3 taken individually. This can happen only when the three resistances are connected in parallel.
In parallel combination of resistances, 
Therefore, the effective resistance reduces when resistances are connected parallel to each other.
D. The potential across the conductors is same when they are connected in parallel.
E. 
is the formula for calculating effective resistance of a circuit when conductors are connected in series
F. 
is the formula for calculating effective resistance of a circuit when conductors are connected in parallel.
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