BTEC Level 4 Unit 19 DC Circuit Theory Assignment 1: Electronics Consultancy Case Study for PCB Design & Power Calculations

Learning Outcomes and Assessment Criteria:

LO1 Apply an understanding of fundamental electrical quantities to analyse circuits with constant voltages and currents

P1 Apply the principles of circuit theory to simple circuits with constant sources, to explain the operation of that circuit.

M1 Apply the principles of circuit theory to a range of circuits with constant sources, to explain the operation of that circuit.

D1 Examine the operation of a range of circuits with constant sources, including power analysis, using relevant circuit theories.

Unit Learning Outcomes:

Apply an understanding of fundamental electrical quantities to analyse circuits with constant voltages and currents

Assignment Brief and Guidance:

Scenario

You have completed your engineering apprenticeship and have a position in the design department of a electronics consultancy company that offers a range of services. You have been asked by your line manager to reduce the layout of various circuits so that they fit to size of the PCB as specified by the customer. The customer has also asked if current and power can be calculated so they can specify the values in the product technical documents.

Apply the principles of circuit theory for the circuit shown and determine:

(i) the total resistance (RT).

(ii) the total current (IT) supplied by the battery.

(iii) the current flowing through each resistor.

(iv) the total power consumed by the circuit.

(v) Explain and examine the operation of the circuit.

Apply the principles of circuit theory for the circuit shown and determine:

(i) the total resistance (RT).

(ii) the total current (IT) supplied by the battery.

(iii) the current flowing through each resistor.

(iv) the total power consumed by the circuit.

(v) Explain and examine the operation of the circuit.

Two batteries A and B are connected in parallel, and a 1.5Ω resistor is connected across the battery terminals. The e.m.f. of and internal resistance of battery A are 12V and 2Ω respectively, and the corresponding values for battery B are 8V and 6Ω respectively. Apply Kirchhoff’s Laws to determine:

(i) the value and direction of the current in each battery.

(ii) the current flowing in and the p.d. across the 1.5Ω resistor.

(iii) Explain and examine the operation of the circuit.

Two batteries A and B are connected in parallel and a load of 3Ω is connected across their terminals. Battery A has an e.m.f. 24V and internal resistance of 4Ω; battery B has an e.m.f of 15V and an internal resistance 9Ω. Apply Kirchhoff’s Laws to determine:

(i) the values and directions of the currents in each branch of the circuit. (

ii) the p.d. across the external resistor i.e. the 3Ω resistor.

(iii) Explain and examine the operation of the circuit.

Apply Superpostion theory to the circuits below to determine the branch currents I1, I2 and I3 and explain and examine the operation of the circuits.