In the circuit below, the currents through the four resistors are as indicated. Use the junction rule to write the equations representing the relationship between the currents at the point c. (Use the following as necessary: I1, I5, and I2-) I6-4-15 Which currents flow into the junction and which ones flow away from the junction? Review the sign convention for currents flowing into and away from a junction. = 0 ww d Is
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- A 1,00-?O voltmeter is placed in parallel with a 75.0kresistor in a circuit, (a) Draw a circuit diagram of the connection, (b) What is the resistance of the combination? If the voltage across the combination is kept the same as it was across the 75.0-kresistor alone, what is the percent increase in current? (d) If the current through the combination is kept the same as it was through the 75.0-kresistor alone, what is the percentage decrease in voltage? (e) Are the changes found in parts (c) and (d) significant? Discuss.A resistor is dissipating 119milliwatts [mW] of power. The voltage across the resistor is 26 volts [V]. (a) What is the value of the resistance? Express your answer in units of ohms[Ω]using an appropriate SI prefix such that there are only one, two, or three digits shown to the left of the decimal. (b) What is the current through the resistor? Express your answer in units of amperes [A] using an appropriate SI prefix such that there are only one, two, or three digits shown to the left of the decimal.A resistor is dissipating 114 milliwatts [mW] of power. The voltage across the resistor is 13 volts [V]. (a) What is the value of the resistance? Express your answer in units of ohms [Ω] using an appropriate SI prefix such that there are only one, two, or three digits shown to the left of the decimal. (b) What is the current through the resistor? Express your answer in units of amperes [A] using an appropriate SI prefix such that there are only one, two, or three digits shown to the left of the decimal.
- Given the table below, answer the questions: a.)For the same resistance of the circuit, what happens to the current as you increase the applied voltage? b.)For the same applied voltage, compare the current for the three resistance values used. c.)Superimpose plots of current versus voltage for the three resistance values (plot 1 is current vs voltage for 200 Ω, plot 2 is for 400 Ω, and plot 3 is for 600 Ω). Determine the slope of each plot. Which plot has the highest slope? d.)What is the mathematical relationship between the slope and the resistance?If two resistors with resistances R1 and R2 are connected in parallel, as in the figure, then the total resistance R, measured in Ohms (Ω), is given by: 1R=1R1+1R2 If R1 and R2 are increasing at rates of .3Ω/s and .2Ω/s, respectively, how fast is R increasing when R1=80Ω and R2=100Ω? ________________ Ω/s (Answer) Please show all steps.Three resistors R1 = 10 Ω, R2 = 20 Ω, and R3 = 30 Ω are in series and are connected to a voltage supply that provides 15.3 V of voltage as shown in the circuit diagram below. Answer the following questions a) What is the total resistance of the three resistors? (b) What is the electric current at point A, B, C, and D? (c) What is the electrical potential difference between point B and point C in the circuit? (d) What is the electrical potential difference between point B and point D in the circuit? (e) Find the power dissipation in the resistor R1 when the voltage at the voltage supply is increased to 21 V.
- In the circuit shown in figure 1, epsilon is equal to 41.0 V, R1= 4 ohms, R2= 6 ohms, and R3= 3 ohms. (A) what is the potential difference Vab between points a and b when the switch S is open? (B) for the 4 ohm resistor, calculate the current through the resistor with S open. (C) for the 6 ohm resistor, calculate the current through the resistor with S open. (D) for the 3 ohm resistor calculate the current through the resistor with S open. (E) what is the potential difference Vab between points a and b when the switch S is closed? (F) for the 4 ohm resistor calculate the current through the resistor with S closed. (G) for the 6 ohm resistor calculate the current through the resistor with S closed (H) for the 3 ohm resistor calculate the current through the resistor with S closed. (I) for each resistor, does the current increase or decrease when S is closed?Three resistors R1 = 12 Ω, R2 = 20 Ω, and R3 = 30 Ω are in parallel and are connected to a voltage supply that provides 4.8 V of voltage as shown in the circuit diagram below. Answer the following questions (a) What is the total resistance of the three resistors? (b) What is the total current in the circuit? (c) What is the electrical potential difference between point A and point D, between point B and point D, and between point C and point D in the circuit? (d) What is the electric current at point A, B, and C? (e) Find the power dissipation in the resistor R1 when the voltage at the voltage supply is increased to 6.0 V.A circuit consists of two 100-kΩ resistors in series with an ideal 12.0-V battery. (a) Calculate the potential drop across one of the resistors. (b) A voltmeter with internal resistance 10.0 MΩ is connected in parallel with one of the two resistors to measure the potential drop across the resistor. By what percentage will the voltmeter reading deviate from the value you determined in part (a)? (Hint: The difference is rather small, so it is helpful to solve algebraically first to avoid a rounding error.)
- Regarding the circuit in the left-hand part of the diagram: a) What is the current passing through each of the resistors? b) What is the current supplied by the battery? c) What is the potential difference across the 12 Ω resistor? d) How much power is turned to heat in the 4 Ω resistor? e) If we replace the circuit on the left by the one in the right-hand part of the diagram, with the same battery and only one resistor, what resistance Req should we choose to obtain the same total current?Use the exact values you enter to make later calculations. The figure below shows a battery connected to a circuit. The potential difference across the battery and the resistance of each resistor is given in the figure. (Assume R1 = 11.5 Ω, R2 = 1.30 Ω, and V = 6.50 V.) (I skipped a-c) (d) Using the result from part (c), what is the equivalent resistance (in Ω) of the entire circuit? in Ω (e) What is the current (in A) through the battery (equivalently, the conventional current that exits the positive terminal of the battery and enters the R2)? in A (f) What is the magnitude of the potential difference (in V) across R2? in VConsider the circuit shown below, with resistors R1, R2, R3, and batteries with emfs E1 and E2. Indicated on the diagram are the currents I1, I2, and I3. a) Write down, but don’t solve, Kirchoff’s loop law for the two “inner” loops. b) Write down Kirchoff’s junction law for one of the two junctions.