In this circuit the resistance R1 is 7 Ω and R2 is 3 Ω. If this combination of resistors were to be replaced by a single resistor with an equivalent resistance, what should that resistance be? Give your answer in units of Ohms (LaTeX: \OmegaΩ).

Series combination:

Equivalent resistance =10Ω

Parallel combination:

Equivalent resistance

Explanation:

Resistance: Resistance is the ratio of voltage to the current.

R = resistance

I = current

V= potential difference(voltage)

There are two types of resistance combinations.

Series combination: If the ending point of one resistance is connected to the starting point of other resistance that combination is known as series combination.

If R₁,R₂ and R₃  are connected in series combination.

Then equivalent resistance = R₁+R₂+R₃

Parallel combination: If the ending point and the starting point of the all resistance are the same points that combination is known as parallel combination.

If R₁,R₂ and R₃  are connected in parallel combination.

Then equivalent resistance  

Here R₁=7Ω and     R₂=3Ω

If R₁ and R₂  connected in series combination

Then equivalent resistance = (7+3) Ω

                                            =10Ω

If R₁ and R₂  connected in parallel combination

Then equivalent resistance

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explanation: