can someone tell me why when the length of a wire increase, the current decreases??
and why is it that, as the length of the wire increase, so too does the resistance..so y isn't the current the same increasing as the forumla
V=IR shows that there is a proportional relationship between all quantities??
When the length of a wire increases, the current decreases due to the relationship between resistance, voltage, and current. To understand this relationship, let's break it down:
1. Resistance: Resistance (R) is a property of a wire that opposes the flow of electric current. It depends on the material of the wire and its dimensions. The longer the wire, the greater its resistance. This is because a longer wire offers more resistance to the flow of electrons compared to a shorter wire.
2. Voltage: Voltage (V) is the electrical potential difference across the wire. It is usually provided by a power source such as a battery or generator. The voltage determines the "push" or driving force on the electrons in the wire.
3. Current: Electric current (I) is the flow of charged particles (usually electrons) through a conductor like a wire. Current is directly proportional to voltage and inversely proportional to resistance, according to Ohm's Law (V = IR).
To understand why the current decreases as the wire length increases, we can consider Ohm's Law. If we keep the voltage (V) constant and increase the length of the wire, the resistance (R) increases. This means that the current (I) will decrease because there is greater opposition to the flow of electrons.
So, as you correctly mentioned, the formula V=IR shows a proportional relationship between voltage, current, and resistance. However, when we increase the length of the wire (increasing resistance), we need to keep the voltage constant to maintain the proportional relationship. If we were to increase the voltage, then the current would increase as well, given a constant resistance.
In summary, the increase in wire length leads to an increase in wire resistance, which in turn leads to a decrease in current if the voltage remains constant. It is the interplay between voltage, current, and resistance that explains this relationship.