A 14.5
metal wire is cut into three equal
pieces that are then connected side by side to
form a new wire the length of which is equal
to one-third the original length.
What is the resistance of this new wire?
Answer in units of
.
To find the resistance of the new wire, we need to know the resistance of the original wire. Since the resistance is not given, we can't determine the exact resistance of the new wire.
However, we can use the concept of resistivity to determine the resistance of the new wire if we know the resistivity of the metal. Resistivity is a property of a material that determines how strongly it resists the flow of electric current.
To find the resistance of a wire, we use the formula:
Resistance (R) = (Resistivity (ρ) * Length (L)) / Cross-sectional Area (A)
The resistivity of a metal can be found in reference tables or provided in the question. Let's assume the resistivity of the metal wire is given as ρ.
Since the original wire is cut into three equal pieces, each piece will be 14.5 / 3 = 4.83 units in length.
The length of the new wire is equal to one-third of the original length, so it will be (14.5 / 3) units long.
However, we need to calculate the cross-sectional area of the new wire to substitute it in the formula for resistance. Without the given information about the dimensions of the wire, we cannot determine the exact cross-sectional area.
Once we have the resistivity (ρ) and the cross-sectional area (A), we can calculate the resistance of the new wire using the formula mentioned above.