The slope of a line is the change in the y direction divided by Find the slope f

Question

The slope of a line is the change in the y direction divided by Find the slope for each direction. The definition for slope is illustrated in Figure 5-2 resistor on Plot 5-1. What happens to the slope of the I-V curve for larger resistors? (a) If the resistance is halved and the voltage is not changed, what will happen to the current in a resistive circuit? (b) If the voltage is doubled and the resistance is not changed, what will happen to the current in a resistive circuit? If the current in a resistive circuit is 24 mA and the applied voltage is 48 V, what is the resistance? What current will flow through a 10 ohm resistor with a 5.0 V applied?

Explanation / Answer

3 a)

according to ohm's law , current is given as

i = V/R

since V is constant , "i" is inversly related to resistance

hence if R is halved , the current "i" becomes double

b)

according to ohm's law , current is given as

i = V/R

since R is constant , "i" is directly related to Voltage V

if Voltage is doubled, the current also gets doubled

4.

i = current = 24 mA = 0.024 A

R = resistance = ?

V = Voltage = 48 volts

using ohm's law

V = i R

48 = (0.024) R

R = 2000 ohm

5.

i = ?

R = 10 ohm

V = 5 Volts

using ohm's law

V = i R

5 = i (10)

i = 0.5 A

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