The figure gives the electric potential V(x) along a copper wire carrying uniform current, from a point of higher potential Vs = 8.00 µV at x=0 to a point of zero potential at x, = 3.20 m. The wire has a radius of 1.70 mm, and copper has a resistivity of 1.69 x 10-8 Q-m. What is the current in the wire? V (μV) 0 x (m)
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- The figure gives the electric potential V(x) along a copper wire carrying uniform current, from a point of higher potential Vs = 10.0 µV at x = 0 to a point of zero potential at xg = 3.00 m. The wire has a radius of 2.30 mm, and copper has a resistivity of 1.69 x 108Q-m. What is the current in the wire? x (m) Number i Units V (µV)Wire C and wire D are made from different materials and have length Lc = Lp = 2.4 m. The resistivity and diameter of wire C are 5.0 × 10-6 Q.m and 1.32 mm, and those of wire D are 1.2 × 106 Q2•m and 0.79 mm. The wires are joined as shown in the figure and a current of 4.9 A is set up in them. What is the electric potential difference between (a) points 1 and 2 and (b) points 2 and 3? What is the rate at which energy is dissipated between (c) points 1 and 2 and (d) points 2 and 3? C ·Lc (a) Number i 4.3e-5 Units V (b) Number 2.9E-5 Units V (c) Number i 2.1e-4 Units W 2 (d) Number i 1.4e-4 Units W D -LD 3A wire is 1.2 m long and 1.2 mm² in cross-sectional area. It carries a current of 5.6 A when a 3.0 V potential difference is applied between its ends. Calculate the conductivity of the material of which this wire is made. Number i 1 Units (Q.m)^-1
- Kiting during a storm. The legend that Benjamin Franklin flew a kite as a storm approached is only a legend — he was neither stupid nor suicidal. Suppose a kite string of radius 2.10 mm extends directly upward by 0.802 km and is coated with a 0.520 mm layer of water having resistivity 155 Ω·m. If the potential difference between the two ends of the string is 176 MV, what is the current through the water layer? The danger is not this current but the chance that the string draws a lightning strike, which can have a current as large as 500 000 A (way beyond just being lethal).The figure gives the electric potential V(x) along a copper wire carrying uniform current, from a point of higher potential V, = 8.00 µV at x = 0 to a point of zero potential at x, = 2.60 m. The wire has a radius of 2.10 mm, and copper has a resistivity of 1.69 x 10-8 0-m. What is the current in the wire? V. x (m) Number i Units (A) AUnder the influence of a constant E field of 700.0 N/C; 4.53* 1016 electrons pass through a 5.00 cm piece of wire in 5.00 seconds. a) What is the potential difference across the wire? b) What is the average current during this time period? c) What is the average power during this time? d) What is the effective resistance of the wire?
- A lightning rod on top of a building consists of an iron spike 1.5 m long with a circular crosssection of diameter 1.5 cm. During a lightning strike, the rod carries a current of 1000 A. What is the potential difference across the rod when this current flows? The resistivity of iron is 1.0 x 10-7 Ωm.Electric current passing through a human body can be dangerous, even fatal, depending on the amount of current, the duration of the current, and the region of the body through which the current passes. However, currents less than about 0.5 mA are typically imperceptible. A current caused by a low potential difference typically travels through the outer layer of the skin. The resistance of the skin therefore determines how much current flows for a given potential difference. The resistance can be influenced by a number of factors, including whether the skin is wet or dry . For example, suppose an electric current of 89.0 µA follows a path through the thumb and index finger. When the skin is dry, the resistance along this path is 4.40 ✕ 105 Ω. What voltage (in V) is required for this current, in the case of dry skin? V When the skin is wet, the resistance is lowered to 1,950 Ω. What voltage (in V) is required for the same current, in the case of wet skin? VA spool of aluminum wire 290 m long and with a diameter of 0.360 mm is at 20.0°C. For aluminum, the resistivity is 2.82 x 10-8 Q ·m and the temperature coefficient of resistivity is 3.90 x 10-3 (°C)-1. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.600 A? V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.600 A? W (c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 310°C?