Combining Resistors in Series & Parallel Video Lessons

Concept

# Problem: When unequal resistors are connected in series across an ideal battery,a) the same power is dissipated in each one.b) the potential difference across each is the same.c) the current flowing in each is the same.d) the equivalent resistance of the circuit is less than that of the smallest resistor.e) the equivalent resistance of the circuit is equal to the average of all the resistances.

###### FREE Expert Solution

a)

Power:

$\overline{){\mathbf{P}}{\mathbf{=}}{\mathbf{V}}{\mathbf{i}}{\mathbf{=}}{{\mathbf{i}}}^{{\mathbf{2}}}{\mathbf{R}}{\mathbf{=}}\frac{{\mathbf{V}}^{\mathbf{2}}}{\mathbf{R}}}$

P = i2R.

Current is equal, but R is different. The power dissipated in each resistor cannot be the same

b)

Ohm's law:

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###### Problem Details

When unequal resistors are connected in series across an ideal battery,

a) the same power is dissipated in each one.

b) the potential difference across each is the same.

c) the current flowing in each is the same.

d) the equivalent resistance of the circuit is less than that of the smallest resistor.

e) the equivalent resistance of the circuit is equal to the average of all the resistances.